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Finding the Fourth Proportional to 7,385.32, 10,186.48 and 7,141.24

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Solution

The fourth proportional to 7,385.32, 10,186.48 and 7,141.24 is: 9,849.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,385.32 : 10,186.48 = 7,141.24 : x
  2. Step 2: Convert to fraction form
    7,385.32/10,186.48 = 7,141.24/x
  3. Step 3: Cross multiply
    7,385.32x = 10,186.48 × 7,141.24
  4. Step 4: Simplify right side
    7,385.32x = 72,744,098.44
  5. Step 5: Solve for x
    x = 72,744,098.44/7,385.32
  6. Step 6: Final answer
    x = 9,849.82

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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.