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Finding the Fourth Proportional to 27,538.52, 41,308.18 and 7,817.12

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Solution

The fourth proportional to 27,538.52, 41,308.18 and 7,817.12 is: 11,725.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,538.52 : 41,308.18 = 7,817.12 : x
  2. Step 2: Convert to fraction form
    27,538.52/41,308.18 = 7,817.12/x
  3. Step 3: Cross multiply
    27,538.52x = 41,308.18 × 7,817.12
  4. Step 4: Simplify right side
    27,538.52x = 322,911,000.04
  5. Step 5: Solve for x
    x = 322,911,000.04/27,538.52
  6. Step 6: Final answer
    x = 11,725.79

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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.