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Finding the Fourth Proportional to 8,232.02, 12,333.66 and 6,854.22

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Solution

The fourth proportional to 8,232.02, 12,333.66 and 6,854.22 is: 10,269.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.02 : 12,333.66 = 6,854.22 : x
  2. Step 2: Convert to fraction form
    8,232.02/12,333.66 = 6,854.22/x
  3. Step 3: Cross multiply
    8,232.02x = 12,333.66 × 6,854.22
  4. Step 4: Simplify right side
    8,232.02x = 84,537,619.05
  5. Step 5: Solve for x
    x = 84,537,619.05/8,232.02
  6. Step 6: Final answer
    x = 10,269.37

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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.