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Finding the Fourth Proportional to 11,430.08, 15,765.04 and 8,069.39

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Solution

The fourth proportional to 11,430.08, 15,765.04 and 8,069.39 is: 11,129.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.08 : 15,765.04 = 8,069.39 : x
  2. Step 2: Convert to fraction form
    11,430.08/15,765.04 = 8,069.39/x
  3. Step 3: Cross multiply
    11,430.08x = 15,765.04 × 8,069.39
  4. Step 4: Simplify right side
    11,430.08x = 127,214,256.13
  5. Step 5: Solve for x
    x = 127,214,256.13/11,430.08
  6. Step 6: Final answer
    x = 11,129.78

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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.