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Finding the Fourth Proportional to 8,170.24, 12,260.02 and 6,800.16

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Solution

The fourth proportional to 8,170.24, 12,260.02 and 6,800.16 is: 10,204.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170.24 : 12,260.02 = 6,800.16 : x
  2. Step 2: Convert to fraction form
    8,170.24/12,260.02 = 6,800.16/x
  3. Step 3: Cross multiply
    8,170.24x = 12,260.02 × 6,800.16
  4. Step 4: Simplify right side
    8,170.24x = 83,370,097.60
  5. Step 5: Solve for x
    x = 83,370,097.60/8,170.24
  6. Step 6: Final answer
    x = 10,204.12

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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.