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Finding the Fourth Proportional to 8,472.42, 12,707.96 and 3,792.24

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Solution

The fourth proportional to 8,472.42, 12,707.96 and 3,792.24 is: 5,688.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.42 : 12,707.96 = 3,792.24 : x
  2. Step 2: Convert to fraction form
    8,472.42/12,707.96 = 3,792.24/x
  3. Step 3: Cross multiply
    8,472.42x = 12,707.96 × 3,792.24
  4. Step 4: Simplify right side
    8,472.42x = 48,191,634.23
  5. Step 5: Solve for x
    x = 48,191,634.23/8,472.42
  6. Step 6: Final answer
    x = 5,688.06

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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.