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Finding the Fourth Proportional to 7,872.32, 10,862.42 and 4,728.57

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Solution

The fourth proportional to 7,872.32, 10,862.42 and 4,728.57 is: 6,524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.32 : 10,862.42 = 4,728.57 : x
  2. Step 2: Convert to fraction form
    7,872.32/10,862.42 = 4,728.57/x
  3. Step 3: Cross multiply
    7,872.32x = 10,862.42 × 4,728.57
  4. Step 4: Simplify right side
    7,872.32x = 51,363,689.70
  5. Step 5: Solve for x
    x = 51,363,689.70/7,872.32
  6. Step 6: Final answer
    x = 6,524.60

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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.