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Finding the Fourth Proportional to 8,290.97, 11,442.35 and 6,191.45

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Solution

The fourth proportional to 8,290.97, 11,442.35 and 6,191.45 is: 8,544.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.97 : 11,442.35 = 6,191.45 : x
  2. Step 2: Convert to fraction form
    8,290.97/11,442.35 = 6,191.45/x
  3. Step 3: Cross multiply
    8,290.97x = 11,442.35 × 6,191.45
  4. Step 4: Simplify right side
    8,290.97x = 70,844,706.95
  5. Step 5: Solve for x
    x = 70,844,706.95/8,290.97
  6. Step 6: Final answer
    x = 8,544.80

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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.