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Finding the Fourth Proportional to 10,826.52, 14,951.01 and 8,443.09

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Solution

The fourth proportional to 10,826.52, 14,951.01 and 8,443.09 is: 11,659.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,826.52 : 14,951.01 = 8,443.09 : x
  2. Step 2: Convert to fraction form
    10,826.52/14,951.01 = 8,443.09/x
  3. Step 3: Cross multiply
    10,826.52x = 14,951.01 × 8,443.09
  4. Step 4: Simplify right side
    10,826.52x = 126,232,723.02
  5. Step 5: Solve for x
    x = 126,232,723.02/10,826.52
  6. Step 6: Final answer
    x = 11,659.58

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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.