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Finding the Fourth Proportional to 6,983.70, 10,469.07 and 4,061.22

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Solution

The fourth proportional to 6,983.70, 10,469.07 and 4,061.22 is: 6,088.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.70 : 10,469.07 = 4,061.22 : x
  2. Step 2: Convert to fraction form
    6,983.70/10,469.07 = 4,061.22/x
  3. Step 3: Cross multiply
    6,983.70x = 10,469.07 × 4,061.22
  4. Step 4: Simplify right side
    6,983.70x = 42,517,196.47
  5. Step 5: Solve for x
    x = 42,517,196.47/6,983.70
  6. Step 6: Final answer
    x = 6,088.06

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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.