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Finding the Fourth Proportional to 8,378.67, 11,545.87 and 5,981.88

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Solution

The fourth proportional to 8,378.67, 11,545.87 and 5,981.88 is: 8,243.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.67 : 11,545.87 = 5,981.88 : x
  2. Step 2: Convert to fraction form
    8,378.67/11,545.87 = 5,981.88/x
  3. Step 3: Cross multiply
    8,378.67x = 11,545.87 × 5,981.88
  4. Step 4: Simplify right side
    8,378.67x = 69,066,008.84
  5. Step 5: Solve for x
    x = 69,066,008.84/8,378.67
  6. Step 6: Final answer
    x = 8,243.08

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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.