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Finding the Fourth Proportional to 8,102.76, 11,185.56 and 6,114.12

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Solution

The fourth proportional to 8,102.76, 11,185.56 and 6,114.12 is: 8,440.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.76 : 11,185.56 = 6,114.12 : x
  2. Step 2: Convert to fraction form
    8,102.76/11,185.56 = 6,114.12/x
  3. Step 3: Cross multiply
    8,102.76x = 11,185.56 × 6,114.12
  4. Step 4: Simplify right side
    8,102.76x = 68,389,856.11
  5. Step 5: Solve for x
    x = 68,389,856.11/8,102.76
  6. Step 6: Final answer
    x = 8,440.32

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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.