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Finding the Fourth Proportional to 11,013.87, 16,515.42 and 7,683.72

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Solution

The fourth proportional to 11,013.87, 16,515.42 and 7,683.72 is: 11,521.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,013.87 : 16,515.42 = 7,683.72 : x
  2. Step 2: Convert to fraction form
    11,013.87/16,515.42 = 7,683.72/x
  3. Step 3: Cross multiply
    11,013.87x = 16,515.42 × 7,683.72
  4. Step 4: Simplify right side
    11,013.87x = 126,899,862.96
  5. Step 5: Solve for x
    x = 126,899,862.96/11,013.87
  6. Step 6: Final answer
    x = 11,521.82

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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.