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Finding the Fourth Proportional to 6,838.56, 10,255.14 and 3,140.10

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Solution

The fourth proportional to 6,838.56, 10,255.14 and 3,140.10 is: 4,708.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.56 : 10,255.14 = 3,140.10 : x
  2. Step 2: Convert to fraction form
    6,838.56/10,255.14 = 3,140.10/x
  3. Step 3: Cross multiply
    6,838.56x = 10,255.14 × 3,140.10
  4. Step 4: Simplify right side
    6,838.56x = 32,202,165.11
  5. Step 5: Solve for x
    x = 32,202,165.11/6,838.56
  6. Step 6: Final answer
    x = 4,708.91

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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.