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Finding the Fourth Proportional to 10,402.90, 15,593.20 and 3,825.51

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Solution

The fourth proportional to 10,402.90, 15,593.20 and 3,825.51 is: 5,734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.90 : 15,593.20 = 3,825.51 : x
  2. Step 2: Convert to fraction form
    10,402.90/15,593.20 = 3,825.51/x
  3. Step 3: Cross multiply
    10,402.90x = 15,593.20 × 3,825.51
  4. Step 4: Simplify right side
    10,402.90x = 59,651,942.53
  5. Step 5: Solve for x
    x = 59,651,942.53/10,402.90
  6. Step 6: Final answer
    x = 5,734.16

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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.