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Finding the Fourth Proportional to 7,702.10, 11,545.11 and 5,588.62

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Solution

The fourth proportional to 7,702.10, 11,545.11 and 5,588.62 is: 8,377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.10 : 11,545.11 = 5,588.62 : x
  2. Step 2: Convert to fraction form
    7,702.10/11,545.11 = 5,588.62/x
  3. Step 3: Cross multiply
    7,702.10x = 11,545.11 × 5,588.62
  4. Step 4: Simplify right side
    7,702.10x = 64,521,232.65
  5. Step 5: Solve for x
    x = 64,521,232.65/7,702.10
  6. Step 6: Final answer
    x = 8,377.10

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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.