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Finding the Fourth Proportional to 8,225.74, 11,351.59 and 4,689.18

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Solution

The fourth proportional to 8,225.74, 11,351.59 and 4,689.18 is: 6,471.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.74 : 11,351.59 = 4,689.18 : x
  2. Step 2: Convert to fraction form
    8,225.74/11,351.59 = 4,689.18/x
  3. Step 3: Cross multiply
    8,225.74x = 11,351.59 × 4,689.18
  4. Step 4: Simplify right side
    8,225.74x = 53,229,648.80
  5. Step 5: Solve for x
    x = 53,229,648.80/8,225.74
  6. Step 6: Final answer
    x = 6,471.11

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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.