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Finding the Fourth Proportional to 8,287.97, 11,438.43 and 4,751.11

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Solution

The fourth proportional to 8,287.97, 11,438.43 and 4,751.11 is: 6,557.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.97 : 11,438.43 = 4,751.11 : x
  2. Step 2: Convert to fraction form
    8,287.97/11,438.43 = 4,751.11/x
  3. Step 3: Cross multiply
    8,287.97x = 11,438.43 × 4,751.11
  4. Step 4: Simplify right side
    8,287.97x = 54,345,181.97
  5. Step 5: Solve for x
    x = 54,345,181.97/8,287.97
  6. Step 6: Final answer
    x = 6,557.12

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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.