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Finding the Fourth Proportional to 7,207.50, 9,937.83 and 5,083.38

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Solution

The fourth proportional to 7,207.50, 9,937.83 and 5,083.38 is: 7,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207.50 : 9,937.83 = 5,083.38 : x
  2. Step 2: Convert to fraction form
    7,207.50/9,937.83 = 5,083.38/x
  3. Step 3: Cross multiply
    7,207.50x = 9,937.83 × 5,083.38
  4. Step 4: Simplify right side
    7,207.50x = 50,517,766.27
  5. Step 5: Solve for x
    x = 50,517,766.27/7,207.50
  6. Step 6: Final answer
    x = 7,009.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.