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Finding the Fourth Proportional to 8,420.79, 12,614.78 and 5,125.71

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Solution

The fourth proportional to 8,420.79, 12,614.78 and 5,125.71 is: 7,678.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.79 : 12,614.78 = 5,125.71 : x
  2. Step 2: Convert to fraction form
    8,420.79/12,614.78 = 5,125.71/x
  3. Step 3: Cross multiply
    8,420.79x = 12,614.78 × 5,125.71
  4. Step 4: Simplify right side
    8,420.79x = 64,659,764.11
  5. Step 5: Solve for x
    x = 64,659,764.11/8,420.79
  6. Step 6: Final answer
    x = 7,678.58

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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.