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Finding the Fourth Proportional to 11,737.92, 17,609.52 and 3,946.50

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Solution

The fourth proportional to 11,737.92, 17,609.52 and 3,946.50 is: 5,920.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.92 : 17,609.52 = 3,946.50 : x
  2. Step 2: Convert to fraction form
    11,737.92/17,609.52 = 3,946.50/x
  3. Step 3: Cross multiply
    11,737.92x = 17,609.52 × 3,946.50
  4. Step 4: Simplify right side
    11,737.92x = 69,495,970.68
  5. Step 5: Solve for x
    x = 69,495,970.68/11,737.92
  6. Step 6: Final answer
    x = 5,920.64

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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.