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Finding the Fourth Proportional to 10,272.32, 14,171.04 and 6,493.76

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Solution

The fourth proportional to 10,272.32, 14,171.04 and 6,493.76 is: 8,958.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.32 : 14,171.04 = 6,493.76 : x
  2. Step 2: Convert to fraction form
    10,272.32/14,171.04 = 6,493.76/x
  3. Step 3: Cross multiply
    10,272.32x = 14,171.04 × 6,493.76
  4. Step 4: Simplify right side
    10,272.32x = 92,023,332.71
  5. Step 5: Solve for x
    x = 92,023,332.71/10,272.32
  6. Step 6: Final answer
    x = 8,958.38

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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.