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Finding the Fourth Proportional to 11,594.92, 17,377.47 and 5,265.17

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Solution

The fourth proportional to 11,594.92, 17,377.47 and 5,265.17 is: 7,890.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.92 : 17,377.47 = 5,265.17 : x
  2. Step 2: Convert to fraction form
    11,594.92/17,377.47 = 5,265.17/x
  3. Step 3: Cross multiply
    11,594.92x = 17,377.47 × 5,265.17
  4. Step 4: Simplify right side
    11,594.92x = 91,495,333.72
  5. Step 5: Solve for x
    x = 91,495,333.72/11,594.92
  6. Step 6: Final answer
    x = 7,890.99

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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.