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Finding the Fourth Proportional to 7,010.65, 10,517.51 and 2,080

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Solution

The fourth proportional to 7,010.65, 10,517.51 and 2,080 is: 3,120.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.65 : 10,517.51 = 2,080 : x
  2. Step 2: Convert to fraction form
    7,010.65/10,517.51 = 2,080/x
  3. Step 3: Cross multiply
    7,010.65x = 10,517.51 × 2,080
  4. Step 4: Simplify right side
    7,010.65x = 21,876,420.80
  5. Step 5: Solve for x
    x = 21,876,420.80/7,010.65
  6. Step 6: Final answer
    x = 3,120.46

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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.