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Finding the Fourth Proportional to 8,205.63, 11,319.20 and 5,377.56

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Solution

The fourth proportional to 8,205.63, 11,319.20 and 5,377.56 is: 7,418.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.63 : 11,319.20 = 5,377.56 : x
  2. Step 2: Convert to fraction form
    8,205.63/11,319.20 = 5,377.56/x
  3. Step 3: Cross multiply
    8,205.63x = 11,319.20 × 5,377.56
  4. Step 4: Simplify right side
    8,205.63x = 60,869,690.60
  5. Step 5: Solve for x
    x = 60,869,690.60/8,205.63
  6. Step 6: Final answer
    x = 7,418.04

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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.