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Finding the Fourth Proportional to 7,738.70, 10,672.53 and 6,246.14

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Solution

The fourth proportional to 7,738.70, 10,672.53 and 6,246.14 is: 8,614.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.70 : 10,672.53 = 6,246.14 : x
  2. Step 2: Convert to fraction form
    7,738.70/10,672.53 = 6,246.14/x
  3. Step 3: Cross multiply
    7,738.70x = 10,672.53 × 6,246.14
  4. Step 4: Simplify right side
    7,738.70x = 66,662,116.53
  5. Step 5: Solve for x
    x = 66,662,116.53/7,738.70
  6. Step 6: Final answer
    x = 8,614.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.