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Finding the Fourth Proportional to 10,228.77, 14,119.46 and 8,983.08

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Solution

The fourth proportional to 10,228.77, 14,119.46 and 8,983.08 is: 12,399.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.77 : 14,119.46 = 8,983.08 : x
  2. Step 2: Convert to fraction form
    10,228.77/14,119.46 = 8,983.08/x
  3. Step 3: Cross multiply
    10,228.77x = 14,119.46 × 8,983.08
  4. Step 4: Simplify right side
    10,228.77x = 126,836,193.82
  5. Step 5: Solve for x
    x = 126,836,193.82/10,228.77
  6. Step 6: Final answer
    x = 12,399.95

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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.