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Finding the Fourth Proportional to 10,265.55, 15,387.53 and 4,023.15

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Solution

The fourth proportional to 10,265.55, 15,387.53 and 4,023.15 is: 6,030.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.55 : 15,387.53 = 4,023.15 : x
  2. Step 2: Convert to fraction form
    10,265.55/15,387.53 = 4,023.15/x
  3. Step 3: Cross multiply
    10,265.55x = 15,387.53 × 4,023.15
  4. Step 4: Simplify right side
    10,265.55x = 61,906,321.20
  5. Step 5: Solve for x
    x = 61,906,321.20/10,265.55
  6. Step 6: Final answer
    x = 6,030.49

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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.