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Finding the Fourth Proportional to 6,805,978.08, 10,227,713.76 and 3,613,493.76

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Solution

The fourth proportional to 6,805,978.08, 10,227,713.76 and 3,613,493.76 is: 5,430,193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805,978.08 : 10,227,713.76 = 3,613,493.76 : x
  2. Step 2: Convert to fraction form
    6,805,978.08/10,227,713.76 = 3,613,493.76/x
  3. Step 3: Cross multiply
    6,805,978.08x = 10,227,713.76 × 3,613,493.76
  4. Step 4: Simplify right side
    6,805,978.08x = 36,957,779,850,826.13
  5. Step 5: Solve for x
    x = 36,957,779,850,826.13/6,805,978.08
  6. Step 6: Final answer
    x = 5,430,193.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.