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Finding the Fourth Proportional to 8,291.97, 11,442.65 and 4,515.08

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Solution

The fourth proportional to 8,291.97, 11,442.65 and 4,515.08 is: 6,230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.97 : 11,442.65 = 4,515.08 : x
  2. Step 2: Convert to fraction form
    8,291.97/11,442.65 = 4,515.08/x
  3. Step 3: Cross multiply
    8,291.97x = 11,442.65 × 4,515.08
  4. Step 4: Simplify right side
    8,291.97x = 51,664,480.16
  5. Step 5: Solve for x
    x = 51,664,480.16/8,291.97
  6. Step 6: Final answer
    x = 6,230.66

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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.