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Finding the Fourth Proportional to 7,871.52, 10,863 and 4,335.24

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Solution

The fourth proportional to 7,871.52, 10,863 and 4,335.24 is: 5,982.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.52 : 10,863 = 4,335.24 : x
  2. Step 2: Convert to fraction form
    7,871.52/10,863 = 4,335.24/x
  3. Step 3: Cross multiply
    7,871.52x = 10,863 × 4,335.24
  4. Step 4: Simplify right side
    7,871.52x = 47,093,712.12
  5. Step 5: Solve for x
    x = 47,093,712.12/7,871.52
  6. Step 6: Final answer
    x = 5,982.80

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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.