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Finding the Fourth Proportional to 8,378.53, 11,560.31 and 4,744.64

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Solution

The fourth proportional to 8,378.53, 11,560.31 and 4,744.64 is: 6,546.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.53 : 11,560.31 = 4,744.64 : x
  2. Step 2: Convert to fraction form
    8,378.53/11,560.31 = 4,744.64/x
  3. Step 3: Cross multiply
    8,378.53x = 11,560.31 × 4,744.64
  4. Step 4: Simplify right side
    8,378.53x = 54,849,545.55
  5. Step 5: Solve for x
    x = 54,849,545.55/8,378.53
  6. Step 6: Final answer
    x = 6,546.44

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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.