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Finding the Fourth Proportional to 7,702.11, 11,545.23 and 5,849.28

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Solution

The fourth proportional to 7,702.11, 11,545.23 and 5,849.28 is: 8,767.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.11 : 11,545.23 = 5,849.28 : x
  2. Step 2: Convert to fraction form
    7,702.11/11,545.23 = 5,849.28/x
  3. Step 3: Cross multiply
    7,702.11x = 11,545.23 × 5,849.28
  4. Step 4: Simplify right side
    7,702.11x = 67,531,282.93
  5. Step 5: Solve for x
    x = 67,531,282.93/7,702.11
  6. Step 6: Final answer
    x = 8,767.89

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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.