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Finding the Fourth Proportional to 10,131.89, 13,974.75 and 8,785.08

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Solution

The fourth proportional to 10,131.89, 13,974.75 and 8,785.08 is: 12,117.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,131.89 : 13,974.75 = 8,785.08 : x
  2. Step 2: Convert to fraction form
    10,131.89/13,974.75 = 8,785.08/x
  3. Step 3: Cross multiply
    10,131.89x = 13,974.75 × 8,785.08
  4. Step 4: Simplify right side
    10,131.89x = 122,769,296.73
  5. Step 5: Solve for x
    x = 122,769,296.73/10,131.89
  6. Step 6: Final answer
    x = 12,117.12

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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.