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Finding the Fourth Proportional to 11,455.18, 15,809.46 and 6,420.76

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Solution

The fourth proportional to 11,455.18, 15,809.46 and 6,420.76 is: 8,861.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,455.18 : 15,809.46 = 6,420.76 : x
  2. Step 2: Convert to fraction form
    11,455.18/15,809.46 = 6,420.76/x
  3. Step 3: Cross multiply
    11,455.18x = 15,809.46 × 6,420.76
  4. Step 4: Simplify right side
    11,455.18x = 101,508,748.39
  5. Step 5: Solve for x
    x = 101,508,748.39/11,455.18
  6. Step 6: Final answer
    x = 8,861.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.