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Finding the Fourth Proportional to 7,712.62, 11,570.10 and 2,517.28

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Solution

The fourth proportional to 7,712.62, 11,570.10 and 2,517.28 is: 3,776.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.62 : 11,570.10 = 2,517.28 : x
  2. Step 2: Convert to fraction form
    7,712.62/11,570.10 = 2,517.28/x
  3. Step 3: Cross multiply
    7,712.62x = 11,570.10 × 2,517.28
  4. Step 4: Simplify right side
    7,712.62x = 29,125,181.33
  5. Step 5: Solve for x
    x = 29,125,181.33/7,712.62
  6. Step 6: Final answer
    x = 3,776.30

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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.