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Finding the Fourth Proportional to 10,463.66, 15,695.28 and 3,067.95

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Solution

The fourth proportional to 10,463.66, 15,695.28 and 3,067.95 is: 4,601.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.66 : 15,695.28 = 3,067.95 : x
  2. Step 2: Convert to fraction form
    10,463.66/15,695.28 = 3,067.95/x
  3. Step 3: Cross multiply
    10,463.66x = 15,695.28 × 3,067.95
  4. Step 4: Simplify right side
    10,463.66x = 48,152,353.30
  5. Step 5: Solve for x
    x = 48,152,353.30/10,463.66
  6. Step 6: Final answer
    x = 4,601.87

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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.