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Finding the Fourth Proportional to 8,195.51, 12,293.16 and 2,352.09

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Solution

The fourth proportional to 8,195.51, 12,293.16 and 2,352.09 is: 3,528.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.51 : 12,293.16 = 2,352.09 : x
  2. Step 2: Convert to fraction form
    8,195.51/12,293.16 = 2,352.09/x
  3. Step 3: Cross multiply
    8,195.51x = 12,293.16 × 2,352.09
  4. Step 4: Simplify right side
    8,195.51x = 28,914,618.70
  5. Step 5: Solve for x
    x = 28,914,618.70/8,195.51
  6. Step 6: Final answer
    x = 3,528.11

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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.