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Finding the Fourth Proportional to 8,130.57, 12,195.83 and 2,287.17

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Solution

The fourth proportional to 8,130.57, 12,195.83 and 2,287.17 is: 3,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.57 : 12,195.83 = 2,287.17 : x
  2. Step 2: Convert to fraction form
    8,130.57/12,195.83 = 2,287.17/x
  3. Step 3: Cross multiply
    8,130.57x = 12,195.83 × 2,287.17
  4. Step 4: Simplify right side
    8,130.57x = 27,893,942.22
  5. Step 5: Solve for x
    x = 27,893,942.22/8,130.57
  6. Step 6: Final answer
    x = 3,430.75

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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.