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Finding the Fourth Proportional to 7,640.80, 10,545.02 and 4,656.90

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Solution

The fourth proportional to 7,640.80, 10,545.02 and 4,656.90 is: 6,426.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.80 : 10,545.02 = 4,656.90 : x
  2. Step 2: Convert to fraction form
    7,640.80/10,545.02 = 4,656.90/x
  3. Step 3: Cross multiply
    7,640.80x = 10,545.02 × 4,656.90
  4. Step 4: Simplify right side
    7,640.80x = 49,107,103.64
  5. Step 5: Solve for x
    x = 49,107,103.64/7,640.80
  6. Step 6: Final answer
    x = 6,426.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.