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Finding the Fourth Proportional to 11,098.76, 16,642.64 and 4,078.49

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Solution

The fourth proportional to 11,098.76, 16,642.64 and 4,078.49 is: 6,115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098.76 : 16,642.64 = 4,078.49 : x
  2. Step 2: Convert to fraction form
    11,098.76/16,642.64 = 4,078.49/x
  3. Step 3: Cross multiply
    11,098.76x = 16,642.64 × 4,078.49
  4. Step 4: Simplify right side
    11,098.76x = 67,876,820.42
  5. Step 5: Solve for x
    x = 67,876,820.42/11,098.76
  6. Step 6: Final answer
    x = 6,115.71

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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.