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Finding the Fourth Proportional to 11,425.12, 15,766.88 and 6,949.06

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Solution

The fourth proportional to 11,425.12, 15,766.88 and 6,949.06 is: 9,589.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,425.12 : 15,766.88 = 6,949.06 : x
  2. Step 2: Convert to fraction form
    11,425.12/15,766.88 = 6,949.06/x
  3. Step 3: Cross multiply
    11,425.12x = 15,766.88 × 6,949.06
  4. Step 4: Simplify right side
    11,425.12x = 109,564,960.39
  5. Step 5: Solve for x
    x = 109,564,960.39/11,425.12
  6. Step 6: Final answer
    x = 9,589.83

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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.