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Finding the Fourth Proportional to 8,103.57, 11,182.92 and 4,377.57

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Solution

The fourth proportional to 8,103.57, 11,182.92 and 4,377.57 is: 6,041.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.57 : 11,182.92 = 4,377.57 : x
  2. Step 2: Convert to fraction form
    8,103.57/11,182.92 = 4,377.57/x
  3. Step 3: Cross multiply
    8,103.57x = 11,182.92 × 4,377.57
  4. Step 4: Simplify right side
    8,103.57x = 48,953,959.19
  5. Step 5: Solve for x
    x = 48,953,959.19/8,103.57
  6. Step 6: Final answer
    x = 6,041.04

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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.