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Finding the Fourth Proportional to 11,432.46, 17,136.99 and 7,735.08

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Solution

The fourth proportional to 11,432.46, 17,136.99 and 7,735.08 is: 11,594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,432.46 : 17,136.99 = 7,735.08 : x
  2. Step 2: Convert to fraction form
    11,432.46/17,136.99 = 7,735.08/x
  3. Step 3: Cross multiply
    11,432.46x = 17,136.99 × 7,735.08
  4. Step 4: Simplify right side
    11,432.46x = 132,555,988.61
  5. Step 5: Solve for x
    x = 132,555,988.61/11,432.46
  6. Step 6: Final answer
    x = 11,594.70

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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.