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Finding the Fourth Proportional to 10,943.23, 16,414.73 and 7,424.52

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Solution

The fourth proportional to 10,943.23, 16,414.73 and 7,424.52 is: 11,136.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,943.23 : 16,414.73 = 7,424.52 : x
  2. Step 2: Convert to fraction form
    10,943.23/16,414.73 = 7,424.52/x
  3. Step 3: Cross multiply
    10,943.23x = 16,414.73 × 7,424.52
  4. Step 4: Simplify right side
    10,943.23x = 121,871,454.06
  5. Step 5: Solve for x
    x = 121,871,454.06/10,943.23
  6. Step 6: Final answer
    x = 11,136.70

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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.