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Finding the Fourth Proportional to 8,168.20, 11,267.32 and 5,138.50

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Solution

The fourth proportional to 8,168.20, 11,267.32 and 5,138.50 is: 7,088.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,168.20 : 11,267.32 = 5,138.50 : x
  2. Step 2: Convert to fraction form
    8,168.20/11,267.32 = 5,138.50/x
  3. Step 3: Cross multiply
    8,168.20x = 11,267.32 × 5,138.50
  4. Step 4: Simplify right side
    8,168.20x = 57,897,123.82
  5. Step 5: Solve for x
    x = 57,897,123.82/8,168.20
  6. Step 6: Final answer
    x = 7,088.11

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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.