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Finding the Fourth Proportional to 8,085.97, 11,159.12 and 4,549.44

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Solution

The fourth proportional to 8,085.97, 11,159.12 and 4,549.44 is: 6,278.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,085.97 : 11,159.12 = 4,549.44 : x
  2. Step 2: Convert to fraction form
    8,085.97/11,159.12 = 4,549.44/x
  3. Step 3: Cross multiply
    8,085.97x = 11,159.12 × 4,549.44
  4. Step 4: Simplify right side
    8,085.97x = 50,767,758.27
  5. Step 5: Solve for x
    x = 50,767,758.27/8,085.97
  6. Step 6: Final answer
    x = 6,278.50

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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.