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Finding the Fourth Proportional to 6,835.36, 10,241.52 and 6,265.12

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Solution

The fourth proportional to 6,835.36, 10,241.52 and 6,265.12 is: 9,387.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.36 : 10,241.52 = 6,265.12 : x
  2. Step 2: Convert to fraction form
    6,835.36/10,241.52 = 6,265.12/x
  3. Step 3: Cross multiply
    6,835.36x = 10,241.52 × 6,265.12
  4. Step 4: Simplify right side
    6,835.36x = 64,164,351.78
  5. Step 5: Solve for x
    x = 64,164,351.78/6,835.36
  6. Step 6: Final answer
    x = 9,387.12

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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.