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Finding the Fourth Proportional to 8,378.42, 11,545.53 and 5,981.63

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Solution

The fourth proportional to 8,378.42, 11,545.53 and 5,981.63 is: 8,242.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.42 : 11,545.53 = 5,981.63 : x
  2. Step 2: Convert to fraction form
    8,378.42/11,545.53 = 5,981.63/x
  3. Step 3: Cross multiply
    8,378.42x = 11,545.53 × 5,981.63
  4. Step 4: Simplify right side
    8,378.42x = 69,061,117.48
  5. Step 5: Solve for x
    x = 69,061,117.48/8,378.42
  6. Step 6: Final answer
    x = 8,242.74

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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.