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Finding the Fourth Proportional to 8,085.82, 12,130.56 and 2,242.90

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Solution

The fourth proportional to 8,085.82, 12,130.56 and 2,242.90 is: 3,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,085.82 : 12,130.56 = 2,242.90 : x
  2. Step 2: Convert to fraction form
    8,085.82/12,130.56 = 2,242.90/x
  3. Step 3: Cross multiply
    8,085.82x = 12,130.56 × 2,242.90
  4. Step 4: Simplify right side
    8,085.82x = 27,207,633.02
  5. Step 5: Solve for x
    x = 27,207,633.02/8,085.82
  6. Step 6: Final answer
    x = 3,364.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.