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Finding the Fourth Proportional to 8,078.40, 11,146.68 and 5,092.20

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Solution

The fourth proportional to 8,078.40, 11,146.68 and 5,092.20 is: 7,026.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.40 : 11,146.68 = 5,092.20 : x
  2. Step 2: Convert to fraction form
    8,078.40/11,146.68 = 5,092.20/x
  3. Step 3: Cross multiply
    8,078.40x = 11,146.68 × 5,092.20
  4. Step 4: Simplify right side
    8,078.40x = 56,761,123.90
  5. Step 5: Solve for x
    x = 56,761,123.90/8,078.40
  6. Step 6: Final answer
    x = 7,026.28

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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.