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Finding the Fourth Proportional to 6,689.49, 10,034.23 and 2,306.60

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Solution

The fourth proportional to 6,689.49, 10,034.23 and 2,306.60 is: 3,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.49 : 10,034.23 = 2,306.60 : x
  2. Step 2: Convert to fraction form
    6,689.49/10,034.23 = 2,306.60/x
  3. Step 3: Cross multiply
    6,689.49x = 10,034.23 × 2,306.60
  4. Step 4: Simplify right side
    6,689.49x = 23,144,969.15
  5. Step 5: Solve for x
    x = 23,144,969.15/6,689.49
  6. Step 6: Final answer
    x = 3,459.90

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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.