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Finding the Fourth Proportional to 8,578.16, 12,845.19 and 5,941.90

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Solution

The fourth proportional to 8,578.16, 12,845.19 and 5,941.90 is: 8,897.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.16 : 12,845.19 = 5,941.90 : x
  2. Step 2: Convert to fraction form
    8,578.16/12,845.19 = 5,941.90/x
  3. Step 3: Cross multiply
    8,578.16x = 12,845.19 × 5,941.90
  4. Step 4: Simplify right side
    8,578.16x = 76,324,834.46
  5. Step 5: Solve for x
    x = 76,324,834.46/8,578.16
  6. Step 6: Final answer
    x = 8,897.58

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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.