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Finding the Fourth Proportional to 11,141.72, 16,702.12 and 3,741

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Solution

The fourth proportional to 11,141.72, 16,702.12 and 3,741 is: 5,607.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141.72 : 16,702.12 = 3,741 : x
  2. Step 2: Convert to fraction form
    11,141.72/16,702.12 = 3,741/x
  3. Step 3: Cross multiply
    11,141.72x = 16,702.12 × 3,741
  4. Step 4: Simplify right side
    11,141.72x = 62,482,621.57
  5. Step 5: Solve for x
    x = 62,482,621.57/11,141.72
  6. Step 6: Final answer
    x = 5,607.99

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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.