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Finding the Fourth Proportional to 11,209.32, 15,472.26 and 6,494.76

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Solution

The fourth proportional to 11,209.32, 15,472.26 and 6,494.76 is: 8,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209.32 : 15,472.26 = 6,494.76 : x
  2. Step 2: Convert to fraction form
    11,209.32/15,472.26 = 6,494.76/x
  3. Step 3: Cross multiply
    11,209.32x = 15,472.26 × 6,494.76
  4. Step 4: Simplify right side
    11,209.32x = 100,488,615.36
  5. Step 5: Solve for x
    x = 100,488,615.36/11,209.32
  6. Step 6: Final answer
    x = 8,964.74

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