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Finding the Fourth Proportional to 11,772.52, 17,656.68 and 6,851.80

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Solution

The fourth proportional to 11,772.52, 17,656.68 and 6,851.80 is: 10,276.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.52 : 17,656.68 = 6,851.80 : x
  2. Step 2: Convert to fraction form
    11,772.52/17,656.68 = 6,851.80/x
  3. Step 3: Cross multiply
    11,772.52x = 17,656.68 × 6,851.80
  4. Step 4: Simplify right side
    11,772.52x = 120,980,040.02
  5. Step 5: Solve for x
    x = 120,980,040.02/11,772.52
  6. Step 6: Final answer
    x = 10,276.48

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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.