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Finding the Fourth Proportional to 7,641.92, 10,545.72 and 6,213.08

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Solution

The fourth proportional to 7,641.92, 10,545.72 and 6,213.08 is: 8,573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.92 : 10,545.72 = 6,213.08 : x
  2. Step 2: Convert to fraction form
    7,641.92/10,545.72 = 6,213.08/x
  3. Step 3: Cross multiply
    7,641.92x = 10,545.72 × 6,213.08
  4. Step 4: Simplify right side
    7,641.92x = 65,521,402.02
  5. Step 5: Solve for x
    x = 65,521,402.02/7,641.92
  6. Step 6: Final answer
    x = 8,573.95

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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.