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Finding the Fourth Proportional to 8,042.29, 11,098.42 and 4,505.63

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Solution

The fourth proportional to 8,042.29, 11,098.42 and 4,505.63 is: 6,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.29 : 11,098.42 = 4,505.63 : x
  2. Step 2: Convert to fraction form
    8,042.29/11,098.42 = 4,505.63/x
  3. Step 3: Cross multiply
    8,042.29x = 11,098.42 × 4,505.63
  4. Step 4: Simplify right side
    8,042.29x = 50,005,307.35
  5. Step 5: Solve for x
    x = 50,005,307.35/8,042.29
  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.