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Finding the Fourth Proportional to 10,283.97, 15,424.01 and 5,013.69

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Solution

The fourth proportional to 10,283.97, 15,424.01 and 5,013.69 is: 7,519.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.97 : 15,424.01 = 5,013.69 : x
  2. Step 2: Convert to fraction form
    10,283.97/15,424.01 = 5,013.69/x
  3. Step 3: Cross multiply
    10,283.97x = 15,424.01 × 5,013.69
  4. Step 4: Simplify right side
    10,283.97x = 77,331,204.70
  5. Step 5: Solve for x
    x = 77,331,204.70/10,283.97
  6. Step 6: Final answer
    x = 7,519.59

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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.