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Finding the Fourth Proportional to 11,532.42, 17,298.18 and 3,741

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Solution

The fourth proportional to 11,532.42, 17,298.18 and 3,741 is: 5,611.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,532.42 : 17,298.18 = 3,741 : x
  2. Step 2: Convert to fraction form
    11,532.42/17,298.18 = 3,741/x
  3. Step 3: Cross multiply
    11,532.42x = 17,298.18 × 3,741
  4. Step 4: Simplify right side
    11,532.42x = 64,712,491.38
  5. Step 5: Solve for x
    x = 64,712,491.38/11,532.42
  6. Step 6: Final answer
    x = 5,611.35

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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.