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Finding the Fourth Proportional to 8,491.14, 12,723.23 and 5,707.58

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Solution

The fourth proportional to 8,491.14, 12,723.23 and 5,707.58 is: 8,552.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.14 : 12,723.23 = 5,707.58 : x
  2. Step 2: Convert to fraction form
    8,491.14/12,723.23 = 5,707.58/x
  3. Step 3: Cross multiply
    8,491.14x = 12,723.23 × 5,707.58
  4. Step 4: Simplify right side
    8,491.14x = 72,618,760.93
  5. Step 5: Solve for x
    x = 72,618,760.93/8,491.14
  6. Step 6: Final answer
    x = 8,552.30

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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.