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Finding the Fourth Proportional to 6,144.53, 8,472.74 and 4,151.62

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Solution

The fourth proportional to 6,144.53, 8,472.74 and 4,151.62 is: 5,724.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.53 : 8,472.74 = 4,151.62 : x
  2. Step 2: Convert to fraction form
    6,144.53/8,472.74 = 4,151.62/x
  3. Step 3: Cross multiply
    6,144.53x = 8,472.74 × 4,151.62
  4. Step 4: Simplify right side
    6,144.53x = 35,175,586.67
  5. Step 5: Solve for x
    x = 35,175,586.67/6,144.53
  6. Step 6: Final answer
    x = 5,724.70

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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.