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Finding the Fourth Proportional to 8,249.54, 11,382.40 and 4,664.57

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Solution

The fourth proportional to 8,249.54, 11,382.40 and 4,664.57 is: 6,436.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.54 : 11,382.40 = 4,664.57 : x
  2. Step 2: Convert to fraction form
    8,249.54/11,382.40 = 4,664.57/x
  3. Step 3: Cross multiply
    8,249.54x = 11,382.40 × 4,664.57
  4. Step 4: Simplify right side
    8,249.54x = 53,094,001.57
  5. Step 5: Solve for x
    x = 53,094,001.57/8,249.54
  6. Step 6: Final answer
    x = 6,436.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.