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Finding the Fourth Proportional to 7,839.50, 11,814.28 and 7,060.38

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Solution

The fourth proportional to 7,839.50, 11,814.28 and 7,060.38 is: 10,640.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.50 : 11,814.28 = 7,060.38 : x
  2. Step 2: Convert to fraction form
    7,839.50/11,814.28 = 7,060.38/x
  3. Step 3: Cross multiply
    7,839.50x = 11,814.28 × 7,060.38
  4. Step 4: Simplify right side
    7,839.50x = 83,413,306.23
  5. Step 5: Solve for x
    x = 83,413,306.23/7,839.50
  6. Step 6: Final answer
    x = 10,640.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.