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Finding the Fourth Proportional to 10,298.46, 14,213.03 and 8,616.90

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Solution

The fourth proportional to 10,298.46, 14,213.03 and 8,616.90 is: 11,892.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.46 : 14,213.03 = 8,616.90 : x
  2. Step 2: Convert to fraction form
    10,298.46/14,213.03 = 8,616.90/x
  3. Step 3: Cross multiply
    10,298.46x = 14,213.03 × 8,616.90
  4. Step 4: Simplify right side
    10,298.46x = 122,472,258.21
  5. Step 5: Solve for x
    x = 122,472,258.21/10,298.46
  6. Step 6: Final answer
    x = 11,892.29

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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.