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Finding the Fourth Proportional to 8,291.90, 11,442.87 and 4,515.07

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Solution

The fourth proportional to 8,291.90, 11,442.87 and 4,515.07 is: 6,230.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.90 : 11,442.87 = 4,515.07 : x
  2. Step 2: Convert to fraction form
    8,291.90/11,442.87 = 4,515.07/x
  3. Step 3: Cross multiply
    8,291.90x = 11,442.87 × 4,515.07
  4. Step 4: Simplify right side
    8,291.90x = 51,665,359.05
  5. Step 5: Solve for x
    x = 51,665,359.05/8,291.90
  6. Step 6: Final answer
    x = 6,230.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.