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Finding the Fourth Proportional to 11,600.39, 17,402.50 and 3,807.38

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Solution

The fourth proportional to 11,600.39, 17,402.50 and 3,807.38 is: 5,711.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.39 : 17,402.50 = 3,807.38 : x
  2. Step 2: Convert to fraction form
    11,600.39/17,402.50 = 3,807.38/x
  3. Step 3: Cross multiply
    11,600.39x = 17,402.50 × 3,807.38
  4. Step 4: Simplify right side
    11,600.39x = 66,257,848.20
  5. Step 5: Solve for x
    x = 66,257,848.20/11,600.39
  6. Step 6: Final answer
    x = 5,711.69

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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.