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Finding the Fourth Proportional to 10,402.28, 15,607.31 and 5,401.53

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Solution

The fourth proportional to 10,402.28, 15,607.31 and 5,401.53 is: 8,104.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.28 : 15,607.31 = 5,401.53 : x
  2. Step 2: Convert to fraction form
    10,402.28/15,607.31 = 5,401.53/x
  3. Step 3: Cross multiply
    10,402.28x = 15,607.31 × 5,401.53
  4. Step 4: Simplify right side
    10,402.28x = 84,303,353.18
  5. Step 5: Solve for x
    x = 84,303,353.18/10,402.28
  6. Step 6: Final answer
    x = 8,104.31

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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.