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Finding the Fourth Proportional to 7,306.38, 10,959.57 and 6,781.50

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Solution

The fourth proportional to 7,306.38, 10,959.57 and 6,781.50 is: 10,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.38 : 10,959.57 = 6,781.50 : x
  2. Step 2: Convert to fraction form
    7,306.38/10,959.57 = 6,781.50/x
  3. Step 3: Cross multiply
    7,306.38x = 10,959.57 × 6,781.50
  4. Step 4: Simplify right side
    7,306.38x = 74,322,323.96
  5. Step 5: Solve for x
    x = 74,322,323.96/7,306.38
  6. Step 6: Final answer
    x = 10,172.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.