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Finding the Fourth Proportional to 10,266.60, 15,414.30 and 6,378.60

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Solution

The fourth proportional to 10,266.60, 15,414.30 and 6,378.60 is: 9,576.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.60 : 15,414.30 = 6,378.60 : x
  2. Step 2: Convert to fraction form
    10,266.60/15,414.30 = 6,378.60/x
  3. Step 3: Cross multiply
    10,266.60x = 15,414.30 × 6,378.60
  4. Step 4: Simplify right side
    10,266.60x = 98,321,653.98
  5. Step 5: Solve for x
    x = 98,321,653.98/10,266.60
  6. Step 6: Final answer
    x = 9,576.85

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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.