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Finding the Fourth Proportional to 7,142.88, 10,714.18 and 3,862.40

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Solution

The fourth proportional to 7,142.88, 10,714.18 and 3,862.40 is: 5,793.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.88 : 10,714.18 = 3,862.40 : x
  2. Step 2: Convert to fraction form
    7,142.88/10,714.18 = 3,862.40/x
  3. Step 3: Cross multiply
    7,142.88x = 10,714.18 × 3,862.40
  4. Step 4: Simplify right side
    7,142.88x = 41,382,448.83
  5. Step 5: Solve for x
    x = 41,382,448.83/7,142.88
  6. Step 6: Final answer
    x = 5,793.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.