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Finding the Fourth Proportional to 7,614.46, 10,507.62 and 4,257.28

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Solution

The fourth proportional to 7,614.46, 10,507.62 and 4,257.28 is: 5,874.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.46 : 10,507.62 = 4,257.28 : x
  2. Step 2: Convert to fraction form
    7,614.46/10,507.62 = 4,257.28/x
  3. Step 3: Cross multiply
    7,614.46x = 10,507.62 × 4,257.28
  4. Step 4: Simplify right side
    7,614.46x = 44,733,880.47
  5. Step 5: Solve for x
    x = 44,733,880.47/7,614.46
  6. Step 6: Final answer
    x = 5,874.86

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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.