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Finding the Fourth Proportional to 11,398.38, 15,729.84 and 6,682.70

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Solution

The fourth proportional to 11,398.38, 15,729.84 and 6,682.70 is: 9,222.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.38 : 15,729.84 = 6,682.70 : x
  2. Step 2: Convert to fraction form
    11,398.38/15,729.84 = 6,682.70/x
  3. Step 3: Cross multiply
    11,398.38x = 15,729.84 × 6,682.70
  4. Step 4: Simplify right side
    11,398.38x = 105,117,723.12
  5. Step 5: Solve for x
    x = 105,117,723.12/11,398.38
  6. Step 6: Final answer
    x = 9,222.16

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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.