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Finding the Fourth Proportional to 8,102.32, 11,108.29 and 7,954.71

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Solution

The fourth proportional to 8,102.32, 11,108.29 and 7,954.71 is: 10,905.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.32 : 11,108.29 = 7,954.71 : x
  2. Step 2: Convert to fraction form
    8,102.32/11,108.29 = 7,954.71/x
  3. Step 3: Cross multiply
    8,102.32x = 11,108.29 × 7,954.71
  4. Step 4: Simplify right side
    8,102.32x = 88,363,225.55
  5. Step 5: Solve for x
    x = 88,363,225.55/8,102.32
  6. Step 6: Final answer
    x = 10,905.92

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