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Finding the Fourth Proportional to 7,707.96, 10,614.24 and 6,446.79

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Solution

The fourth proportional to 7,707.96, 10,614.24 and 6,446.79 is: 8,877.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.96 : 10,614.24 = 6,446.79 : x
  2. Step 2: Convert to fraction form
    7,707.96/10,614.24 = 6,446.79/x
  3. Step 3: Cross multiply
    7,707.96x = 10,614.24 × 6,446.79
  4. Step 4: Simplify right side
    7,707.96x = 68,427,776.29
  5. Step 5: Solve for x
    x = 68,427,776.29/7,707.96
  6. Step 6: Final answer
    x = 8,877.55

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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.