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Finding the Fourth Proportional to 12,085.97, 18,112.09 and 6,527.34

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Solution

The fourth proportional to 12,085.97, 18,112.09 and 6,527.34 is: 9,781.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.97 : 18,112.09 = 6,527.34 : x
  2. Step 2: Convert to fraction form
    12,085.97/18,112.09 = 6,527.34/x
  3. Step 3: Cross multiply
    12,085.97x = 18,112.09 × 6,527.34
  4. Step 4: Simplify right side
    12,085.97x = 118,223,753.22
  5. Step 5: Solve for x
    x = 118,223,753.22/12,085.97
  6. Step 6: Final answer
    x = 9,781.90

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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.