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Finding the Fourth Proportional to 8,084.69, 12,127.05 and 2,538.47

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Solution

The fourth proportional to 8,084.69, 12,127.05 and 2,538.47 is: 3,807.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084.69 : 12,127.05 = 2,538.47 : x
  2. Step 2: Convert to fraction form
    8,084.69/12,127.05 = 2,538.47/x
  3. Step 3: Cross multiply
    8,084.69x = 12,127.05 × 2,538.47
  4. Step 4: Simplify right side
    8,084.69x = 30,784,091.98
  5. Step 5: Solve for x
    x = 30,784,091.98/8,084.69
  6. Step 6: Final answer
    x = 3,807.70

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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.