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Finding the Fourth Proportional to 6,753.25, 10,129.11 and 1,822.60

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Solution

The fourth proportional to 6,753.25, 10,129.11 and 1,822.60 is: 2,733.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753.25 : 10,129.11 = 1,822.60 : x
  2. Step 2: Convert to fraction form
    6,753.25/10,129.11 = 1,822.60/x
  3. Step 3: Cross multiply
    6,753.25x = 10,129.11 × 1,822.60
  4. Step 4: Simplify right side
    6,753.25x = 18,461,315.89
  5. Step 5: Solve for x
    x = 18,461,315.89/6,753.25
  6. Step 6: Final answer
    x = 2,733.69

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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.