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Finding the Fourth Proportional to 8,538.75, 12,810.29 and 2,382.75

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Solution

The fourth proportional to 8,538.75, 12,810.29 and 2,382.75 is: 3,574.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.75 : 12,810.29 = 2,382.75 : x
  2. Step 2: Convert to fraction form
    8,538.75/12,810.29 = 2,382.75/x
  3. Step 3: Cross multiply
    8,538.75x = 12,810.29 × 2,382.75
  4. Step 4: Simplify right side
    8,538.75x = 30,523,706.58
  5. Step 5: Solve for x
    x = 30,523,706.58/8,538.75
  6. Step 6: Final answer
    x = 3,574.73

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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.