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Finding the Fourth Proportional to 8,438.72, 12,662.38 and 5,114.92

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Solution

The fourth proportional to 8,438.72, 12,662.38 and 5,114.92 is: 7,674.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.72 : 12,662.38 = 5,114.92 : x
  2. Step 2: Convert to fraction form
    8,438.72/12,662.38 = 5,114.92/x
  3. Step 3: Cross multiply
    8,438.72x = 12,662.38 × 5,114.92
  4. Step 4: Simplify right side
    8,438.72x = 64,767,060.71
  5. Step 5: Solve for x
    x = 64,767,060.71/8,438.72
  6. Step 6: Final answer
    x = 7,674.99

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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.