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Finding the Fourth Proportional to 8,441.31, 11,649.42 and 5,085.18

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Solution

The fourth proportional to 8,441.31, 11,649.42 and 5,085.18 is: 7,017.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.31 : 11,649.42 = 5,085.18 : x
  2. Step 2: Convert to fraction form
    8,441.31/11,649.42 = 5,085.18/x
  3. Step 3: Cross multiply
    8,441.31x = 11,649.42 × 5,085.18
  4. Step 4: Simplify right side
    8,441.31x = 59,239,397.60
  5. Step 5: Solve for x
    x = 59,239,397.60/8,441.31
  6. Step 6: Final answer
    x = 7,017.79

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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.