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Finding the Fourth Proportional to 7,614.32, 10,506.78 and 4,257.32

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Solution

The fourth proportional to 7,614.32, 10,506.78 and 4,257.32 is: 5,874.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.32 : 10,506.78 = 4,257.32 : x
  2. Step 2: Convert to fraction form
    7,614.32/10,506.78 = 4,257.32/x
  3. Step 3: Cross multiply
    7,614.32x = 10,506.78 × 4,257.32
  4. Step 4: Simplify right side
    7,614.32x = 44,730,724.63
  5. Step 5: Solve for x
    x = 44,730,724.63/7,614.32
  6. Step 6: Final answer
    x = 5,874.55

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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.