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Finding the Fourth Proportional to 6,758.52, 10,142.30 and 2,375.96

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Solution

The fourth proportional to 6,758.52, 10,142.30 and 2,375.96 is: 3,565.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.52 : 10,142.30 = 2,375.96 : x
  2. Step 2: Convert to fraction form
    6,758.52/10,142.30 = 2,375.96/x
  3. Step 3: Cross multiply
    6,758.52x = 10,142.30 × 2,375.96
  4. Step 4: Simplify right side
    6,758.52x = 24,097,699.11
  5. Step 5: Solve for x
    x = 24,097,699.11/6,758.52
  6. Step 6: Final answer
    x = 3,565.53

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Why These Related Problems?

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