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Finding the Fourth Proportional to 11,372.46, 15,695.12 and 6,899.38

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Solution

The fourth proportional to 11,372.46, 15,695.12 and 6,899.38 is: 9,521.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,372.46 : 15,695.12 = 6,899.38 : x
  2. Step 2: Convert to fraction form
    11,372.46/15,695.12 = 6,899.38/x
  3. Step 3: Cross multiply
    11,372.46x = 15,695.12 × 6,899.38
  4. Step 4: Simplify right side
    11,372.46x = 108,286,597.03
  5. Step 5: Solve for x
    x = 108,286,597.03/11,372.46
  6. Step 6: Final answer
    x = 9,521.83

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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.