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Finding the Fourth Proportional to 10,309.92, 14,265.18 and 8,986.38

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Solution

The fourth proportional to 10,309.92, 14,265.18 and 8,986.38 is: 12,433.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.92 : 14,265.18 = 8,986.38 : x
  2. Step 2: Convert to fraction form
    10,309.92/14,265.18 = 8,986.38/x
  3. Step 3: Cross multiply
    10,309.92x = 14,265.18 × 8,986.38
  4. Step 4: Simplify right side
    10,309.92x = 128,192,328.25
  5. Step 5: Solve for x
    x = 128,192,328.25/10,309.92
  6. Step 6: Final answer
    x = 12,433.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.