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Finding the Fourth Proportional to 10,665.64, 15,998.43 and 3,740.14

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Solution

The fourth proportional to 10,665.64, 15,998.43 and 3,740.14 is: 5,610.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.64 : 15,998.43 = 3,740.14 : x
  2. Step 2: Convert to fraction form
    10,665.64/15,998.43 = 3,740.14/x
  3. Step 3: Cross multiply
    10,665.64x = 15,998.43 × 3,740.14
  4. Step 4: Simplify right side
    10,665.64x = 59,836,367.98
  5. Step 5: Solve for x
    x = 59,836,367.98/10,665.64
  6. Step 6: Final answer
    x = 5,610.20

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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.