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Finding the Fourth Proportional to 8,042.42, 11,098.54 and 4,505.66

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Solution

The fourth proportional to 8,042.42, 11,098.54 and 4,505.66 is: 6,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.42 : 11,098.54 = 4,505.66 : x
  2. Step 2: Convert to fraction form
    8,042.42/11,098.54 = 4,505.66/x
  3. Step 3: Cross multiply
    8,042.42x = 11,098.54 × 4,505.66
  4. Step 4: Simplify right side
    8,042.42x = 50,006,214.15
  5. Step 5: Solve for x
    x = 50,006,214.15/8,042.42
  6. Step 6: Final answer
    x = 6,217.80

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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.