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Finding the Fourth Proportional to 7,872.48, 11,814.18 and 5,092.23

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Solution

The fourth proportional to 7,872.48, 11,814.18 and 5,092.23 is: 7,641.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.48 : 11,814.18 = 5,092.23 : x
  2. Step 2: Convert to fraction form
    7,872.48/11,814.18 = 5,092.23/x
  3. Step 3: Cross multiply
    7,872.48x = 11,814.18 × 5,092.23
  4. Step 4: Simplify right side
    7,872.48x = 60,160,521.82
  5. Step 5: Solve for x
    x = 60,160,521.82/7,872.48
  6. Step 6: Final answer
    x = 7,641.88

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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.