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Finding the Fourth Proportional to 11,789.47, 16,267.35 and 8,653.15

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Solution

The fourth proportional to 11,789.47, 16,267.35 and 8,653.15 is: 11,939.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,789.47 : 16,267.35 = 8,653.15 : x
  2. Step 2: Convert to fraction form
    11,789.47/16,267.35 = 8,653.15/x
  3. Step 3: Cross multiply
    11,789.47x = 16,267.35 × 8,653.15
  4. Step 4: Simplify right side
    11,789.47x = 140,763,819.65
  5. Step 5: Solve for x
    x = 140,763,819.65/11,789.47
  6. Step 6: Final answer
    x = 11,939.79

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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.