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Finding the Fourth Proportional to 10,402.13, 15,604.52 and 4,076.21

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Solution

The fourth proportional to 10,402.13, 15,604.52 and 4,076.21 is: 6,114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.13 : 15,604.52 = 4,076.21 : x
  2. Step 2: Convert to fraction form
    10,402.13/15,604.52 = 4,076.21/x
  3. Step 3: Cross multiply
    10,402.13x = 15,604.52 × 4,076.21
  4. Step 4: Simplify right side
    10,402.13x = 63,607,280.09
  5. Step 5: Solve for x
    x = 63,607,280.09/10,402.13
  6. Step 6: Final answer
    x = 6,114.83

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