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Finding the Fourth Proportional to 27,534.92, 41,304.08 and 7,815.02

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Solution

The fourth proportional to 27,534.92, 41,304.08 and 7,815.02 is: 11,723.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,534.92 : 41,304.08 = 7,815.02 : x
  2. Step 2: Convert to fraction form
    27,534.92/41,304.08 = 7,815.02/x
  3. Step 3: Cross multiply
    27,534.92x = 41,304.08 × 7,815.02
  4. Step 4: Simplify right side
    27,534.92x = 322,791,965.69
  5. Step 5: Solve for x
    x = 322,791,965.69/27,534.92
  6. Step 6: Final answer
    x = 11,723.01

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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.