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Finding the Fourth Proportional to 8,077.83, 11,148.03 and 4,542.18

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Solution

The fourth proportional to 8,077.83, 11,148.03 and 4,542.18 is: 6,268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.83 : 11,148.03 = 4,542.18 : x
  2. Step 2: Convert to fraction form
    8,077.83/11,148.03 = 4,542.18/x
  3. Step 3: Cross multiply
    8,077.83x = 11,148.03 × 4,542.18
  4. Step 4: Simplify right side
    8,077.83x = 50,636,358.91
  5. Step 5: Solve for x
    x = 50,636,358.91/8,077.83
  6. Step 6: Final answer
    x = 6,268.56

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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.