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Finding the Fourth Proportional to 10,117.44, 13,901.76 and 8,251.20

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Solution

The fourth proportional to 10,117.44, 13,901.76 and 8,251.20 is: 11,337.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,117.44 : 13,901.76 = 8,251.20 : x
  2. Step 2: Convert to fraction form
    10,117.44/13,901.76 = 8,251.20/x
  3. Step 3: Cross multiply
    10,117.44x = 13,901.76 × 8,251.20
  4. Step 4: Simplify right side
    10,117.44x = 114,706,202.11
  5. Step 5: Solve for x
    x = 114,706,202.11/10,117.44
  6. Step 6: Final answer
    x = 11,337.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.