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Finding the Fourth Proportional to 12,298.76, 16,979.28 and 8,119.16

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Solution

The fourth proportional to 12,298.76, 16,979.28 and 8,119.16 is: 11,209.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.76 : 16,979.28 = 8,119.16 : x
  2. Step 2: Convert to fraction form
    12,298.76/16,979.28 = 8,119.16/x
  3. Step 3: Cross multiply
    12,298.76x = 16,979.28 × 8,119.16
  4. Step 4: Simplify right side
    12,298.76x = 137,857,491.00
  5. Step 5: Solve for x
    x = 137,857,491.00/12,298.76
  6. Step 6: Final answer
    x = 11,209.06

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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.