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Finding the Fourth Proportional to 8,084.84, 12,129.38 and 2,538.36

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Solution

The fourth proportional to 8,084.84, 12,129.38 and 2,538.36 is: 3,808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084.84 : 12,129.38 = 2,538.36 : x
  2. Step 2: Convert to fraction form
    8,084.84/12,129.38 = 2,538.36/x
  3. Step 3: Cross multiply
    8,084.84x = 12,129.38 × 2,538.36
  4. Step 4: Simplify right side
    8,084.84x = 30,788,733.02
  5. Step 5: Solve for x
    x = 30,788,733.02/8,084.84
  6. Step 6: Final answer
    x = 3,808.21

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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.