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Finding the Fourth Proportional to 8,662.33, 12,988.31 and 4,211.24

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Solution

The fourth proportional to 8,662.33, 12,988.31 and 4,211.24 is: 6,314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.33 : 12,988.31 = 4,211.24 : x
  2. Step 2: Convert to fraction form
    8,662.33/12,988.31 = 4,211.24/x
  3. Step 3: Cross multiply
    8,662.33x = 12,988.31 × 4,211.24
  4. Step 4: Simplify right side
    8,662.33x = 54,696,825.66
  5. Step 5: Solve for x
    x = 54,696,825.66/8,662.33
  6. Step 6: Final answer
    x = 6,314.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.