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Finding the Fourth Proportional to 7,702.10, 11,545.24 and 5,849.27

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Solution

The fourth proportional to 7,702.10, 11,545.24 and 5,849.27 is: 8,767.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.10 : 11,545.24 = 5,849.27 : x
  2. Step 2: Convert to fraction form
    7,702.10/11,545.24 = 5,849.27/x
  3. Step 3: Cross multiply
    7,702.10x = 11,545.24 × 5,849.27
  4. Step 4: Simplify right side
    7,702.10x = 67,531,225.97
  5. Step 5: Solve for x
    x = 67,531,225.97/7,702.10
  6. Step 6: Final answer
    x = 8,767.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.