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Finding the Fourth Proportional to 6,737.49, 10,109.17 and 2,358.09

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Solution

The fourth proportional to 6,737.49, 10,109.17 and 2,358.09 is: 3,538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.49 : 10,109.17 = 2,358.09 : x
  2. Step 2: Convert to fraction form
    6,737.49/10,109.17 = 2,358.09/x
  3. Step 3: Cross multiply
    6,737.49x = 10,109.17 × 2,358.09
  4. Step 4: Simplify right side
    6,737.49x = 23,838,276.24
  5. Step 5: Solve for x
    x = 23,838,276.24/6,737.49
  6. Step 6: Final answer
    x = 3,538.16

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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.