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Finding the Fourth Proportional to 6,837.60, 10,256.72 and 3,548.60

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Solution

The fourth proportional to 6,837.60, 10,256.72 and 3,548.60 is: 5,323.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.60 : 10,256.72 = 3,548.60 : x
  2. Step 2: Convert to fraction form
    6,837.60/10,256.72 = 3,548.60/x
  3. Step 3: Cross multiply
    6,837.60x = 10,256.72 × 3,548.60
  4. Step 4: Simplify right side
    6,837.60x = 36,396,996.59
  5. Step 5: Solve for x
    x = 36,396,996.59/6,837.60
  6. Step 6: Final answer
    x = 5,323.07

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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.