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Finding the Fourth Proportional to 10,778.76, 14,874.21 and 5,998.95

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Solution

The fourth proportional to 10,778.76, 14,874.21 and 5,998.95 is: 8,278.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.76 : 14,874.21 = 5,998.95 : x
  2. Step 2: Convert to fraction form
    10,778.76/14,874.21 = 5,998.95/x
  3. Step 3: Cross multiply
    10,778.76x = 14,874.21 × 5,998.95
  4. Step 4: Simplify right side
    10,778.76x = 89,229,642.08
  5. Step 5: Solve for x
    x = 89,229,642.08/10,778.76
  6. Step 6: Final answer
    x = 8,278.28

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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.