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Finding the Fourth Proportional to 10,117.76, 13,963.86 and 6,138.24

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Solution

The fourth proportional to 10,117.76, 13,963.86 and 6,138.24 is: 8,471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,117.76 : 13,963.86 = 6,138.24 : x
  2. Step 2: Convert to fraction form
    10,117.76/13,963.86 = 6,138.24/x
  3. Step 3: Cross multiply
    10,117.76x = 13,963.86 × 6,138.24
  4. Step 4: Simplify right side
    10,117.76x = 85,713,524.01
  5. Step 5: Solve for x
    x = 85,713,524.01/10,117.76
  6. Step 6: Final answer
    x = 8,471.59

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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.