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Finding the Fourth Proportional to 8,227.71, 11,354.25 and 4,690.95

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Solution

The fourth proportional to 8,227.71, 11,354.25 and 4,690.95 is: 6,473.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.71 : 11,354.25 = 4,690.95 : x
  2. Step 2: Convert to fraction form
    8,227.71/11,354.25 = 4,690.95/x
  3. Step 3: Cross multiply
    8,227.71x = 11,354.25 × 4,690.95
  4. Step 4: Simplify right side
    8,227.71x = 53,262,219.04
  5. Step 5: Solve for x
    x = 53,262,219.04/8,227.71
  6. Step 6: Final answer
    x = 6,473.52

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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.