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Finding the Fourth Proportional to 10,867.85, 16,279.86 and 9,107.92

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Solution

The fourth proportional to 10,867.85, 16,279.86 and 9,107.92 is: 13,643.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,867.85 : 16,279.86 = 9,107.92 : x
  2. Step 2: Convert to fraction form
    10,867.85/16,279.86 = 9,107.92/x
  3. Step 3: Cross multiply
    10,867.85x = 16,279.86 × 9,107.92
  4. Step 4: Simplify right side
    10,867.85x = 148,275,662.49
  5. Step 5: Solve for x
    x = 148,275,662.49/10,867.85
  6. Step 6: Final answer
    x = 13,643.51

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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.