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Finding the Fourth Proportional to 7,138.26, 10,687.14 and 6,256.08

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Solution

The fourth proportional to 7,138.26, 10,687.14 and 6,256.08 is: 9,366.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.26 : 10,687.14 = 6,256.08 : x
  2. Step 2: Convert to fraction form
    7,138.26/10,687.14 = 6,256.08/x
  3. Step 3: Cross multiply
    7,138.26x = 10,687.14 × 6,256.08
  4. Step 4: Simplify right side
    7,138.26x = 66,859,602.81
  5. Step 5: Solve for x
    x = 66,859,602.81/7,138.26
  6. Step 6: Final answer
    x = 9,366.37

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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.