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Finding the Fourth Proportional to 6,689.53, 10,034.30 and 1,759.16

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Solution

The fourth proportional to 6,689.53, 10,034.30 and 1,759.16 is: 2,638.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.53 : 10,034.30 = 1,759.16 : x
  2. Step 2: Convert to fraction form
    6,689.53/10,034.30 = 1,759.16/x
  3. Step 3: Cross multiply
    6,689.53x = 10,034.30 × 1,759.16
  4. Step 4: Simplify right side
    6,689.53x = 17,651,930.55
  5. Step 5: Solve for x
    x = 17,651,930.55/6,689.53
  6. Step 6: Final answer
    x = 2,638.74

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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.