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Finding the Fourth Proportional to 6,908.16, 10,354.12 and 3,202.59

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Solution

The fourth proportional to 6,908.16, 10,354.12 and 3,202.59 is: 4,800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.16 : 10,354.12 = 3,202.59 : x
  2. Step 2: Convert to fraction form
    6,908.16/10,354.12 = 3,202.59/x
  3. Step 3: Cross multiply
    6,908.16x = 10,354.12 × 3,202.59
  4. Step 4: Simplify right side
    6,908.16x = 33,160,011.18
  5. Step 5: Solve for x
    x = 33,160,011.18/6,908.16
  6. Step 6: Final answer
    x = 4,800.12

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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.