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Finding the Fourth Proportional to 6,712.32, 10,068.69 and 3,202.70

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Solution

The fourth proportional to 6,712.32, 10,068.69 and 3,202.70 is: 4,804.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.32 : 10,068.69 = 3,202.70 : x
  2. Step 2: Convert to fraction form
    6,712.32/10,068.69 = 3,202.70/x
  3. Step 3: Cross multiply
    6,712.32x = 10,068.69 × 3,202.70
  4. Step 4: Simplify right side
    6,712.32x = 32,247,001.15
  5. Step 5: Solve for x
    x = 32,247,001.15/6,712.32
  6. Step 6: Final answer
    x = 4,804.15

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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.