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Finding the Fourth Proportional to 11,785.97, 16,266.15 and 6,750.65

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Solution

The fourth proportional to 11,785.97, 16,266.15 and 6,750.65 is: 9,316.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.97 : 16,266.15 = 6,750.65 : x
  2. Step 2: Convert to fraction form
    11,785.97/16,266.15 = 6,750.65/x
  3. Step 3: Cross multiply
    11,785.97x = 16,266.15 × 6,750.65
  4. Step 4: Simplify right side
    11,785.97x = 109,807,177.52
  5. Step 5: Solve for x
    x = 109,807,177.52/11,785.97
  6. Step 6: Final answer
    x = 9,316.77

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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.