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Finding the Fourth Proportional to 11,737.61, 17,594.57 and 7,358.14

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Solution

The fourth proportional to 11,737.61, 17,594.57 and 7,358.14 is: 11,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.61 : 17,594.57 = 7,358.14 : x
  2. Step 2: Convert to fraction form
    11,737.61/17,594.57 = 7,358.14/x
  3. Step 3: Cross multiply
    11,737.61x = 17,594.57 × 7,358.14
  4. Step 4: Simplify right side
    11,737.61x = 129,463,272.51
  5. Step 5: Solve for x
    x = 129,463,272.51/11,737.61
  6. Step 6: Final answer
    x = 11,029.78

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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.