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Finding the Fourth Proportional to 27,710.42, 41,565.63 and 6,933.92

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Solution

The fourth proportional to 27,710.42, 41,565.63 and 6,933.92 is: 10,400.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,710.42 : 41,565.63 = 6,933.92 : x
  2. Step 2: Convert to fraction form
    27,710.42/41,565.63 = 6,933.92/x
  3. Step 3: Cross multiply
    27,710.42x = 41,565.63 × 6,933.92
  4. Step 4: Simplify right side
    27,710.42x = 288,212,753.17
  5. Step 5: Solve for x
    x = 288,212,753.17/27,710.42
  6. Step 6: Final answer
    x = 10,400.88

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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.