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Finding the Fourth Proportional to 8,382.18, 12,573.28 and 2,538.48

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Solution

The fourth proportional to 8,382.18, 12,573.28 and 2,538.48 is: 3,807.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.18 : 12,573.28 = 2,538.48 : x
  2. Step 2: Convert to fraction form
    8,382.18/12,573.28 = 2,538.48/x
  3. Step 3: Cross multiply
    8,382.18x = 12,573.28 × 2,538.48
  4. Step 4: Simplify right side
    8,382.18x = 31,917,019.81
  5. Step 5: Solve for x
    x = 31,917,019.81/8,382.18
  6. Step 6: Final answer
    x = 3,807.72

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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.