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Finding the Fourth Proportional to 8,781.84, 12,116.49 and 5,243.76

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Solution

The fourth proportional to 8,781.84, 12,116.49 and 5,243.76 is: 7,234.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,781.84 : 12,116.49 = 5,243.76 : x
  2. Step 2: Convert to fraction form
    8,781.84/12,116.49 = 5,243.76/x
  3. Step 3: Cross multiply
    8,781.84x = 12,116.49 × 5,243.76
  4. Step 4: Simplify right side
    8,781.84x = 63,535,965.60
  5. Step 5: Solve for x
    x = 63,535,965.60/8,781.84
  6. Step 6: Final answer
    x = 7,234.93

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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.