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Finding the Fourth Proportional to 27,710.52, 41,565.48 and 6,934.02

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Solution

The fourth proportional to 27,710.52, 41,565.48 and 6,934.02 is: 10,400.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,710.52 : 41,565.48 = 6,934.02 : x
  2. Step 2: Convert to fraction form
    27,710.52/41,565.48 = 6,934.02/x
  3. Step 3: Cross multiply
    27,710.52x = 41,565.48 × 6,934.02
  4. Step 4: Simplify right side
    27,710.52x = 288,215,869.63
  5. Step 5: Solve for x
    x = 288,215,869.63/27,710.52
  6. Step 6: Final answer
    x = 10,400.95

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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.