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Finding the Fourth Proportional to 8,113.90, 11,194.18 and 5,994.53

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Solution

The fourth proportional to 8,113.90, 11,194.18 and 5,994.53 is: 8,270.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.90 : 11,194.18 = 5,994.53 : x
  2. Step 2: Convert to fraction form
    8,113.90/11,194.18 = 5,994.53/x
  3. Step 3: Cross multiply
    8,113.90x = 11,194.18 × 5,994.53
  4. Step 4: Simplify right side
    8,113.90x = 67,103,860.83
  5. Step 5: Solve for x
    x = 67,103,860.83/8,113.90
  6. Step 6: Final answer
    x = 8,270.24

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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.