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Finding the Fourth Proportional to 7,743.74, 11,630.55 and 6,635.66

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Solution

The fourth proportional to 7,743.74, 11,630.55 and 6,635.66 is: 9,966.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.74 : 11,630.55 = 6,635.66 : x
  2. Step 2: Convert to fraction form
    7,743.74/11,630.55 = 6,635.66/x
  3. Step 3: Cross multiply
    7,743.74x = 11,630.55 × 6,635.66
  4. Step 4: Simplify right side
    7,743.74x = 77,176,375.41
  5. Step 5: Solve for x
    x = 77,176,375.41/7,743.74
  6. Step 6: Final answer
    x = 9,966.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.