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Finding the Fourth Proportional to 27,531.80, 41,297.68 and 7,807.79

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Solution

The fourth proportional to 27,531.80, 41,297.68 and 7,807.79 is: 11,711.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,531.80 : 41,297.68 = 7,807.79 : x
  2. Step 2: Convert to fraction form
    27,531.80/41,297.68 = 7,807.79/x
  3. Step 3: Cross multiply
    27,531.80x = 41,297.68 × 7,807.79
  4. Step 4: Simplify right side
    27,531.80x = 322,443,725.93
  5. Step 5: Solve for x
    x = 322,443,725.93/27,531.80
  6. Step 6: Final answer
    x = 11,711.68

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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.