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Finding the Fourth Proportional to 8,472.44, 11,691.81 and 4,695.46

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Solution

The fourth proportional to 8,472.44, 11,691.81 and 4,695.46 is: 6,479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.44 : 11,691.81 = 4,695.46 : x
  2. Step 2: Convert to fraction form
    8,472.44/11,691.81 = 4,695.46/x
  3. Step 3: Cross multiply
    8,472.44x = 11,691.81 × 4,695.46
  4. Step 4: Simplify right side
    8,472.44x = 54,898,426.18
  5. Step 5: Solve for x
    x = 54,898,426.18/8,472.44
  6. Step 6: Final answer
    x = 6,479.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.