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Finding the Fourth Proportional to 11,902.50, 16,418.61 and 7,424.10

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Solution

The fourth proportional to 11,902.50, 16,418.61 and 7,424.10 is: 10,240.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.50 : 16,418.61 = 7,424.10 : x
  2. Step 2: Convert to fraction form
    11,902.50/16,418.61 = 7,424.10/x
  3. Step 3: Cross multiply
    11,902.50x = 16,418.61 × 7,424.10
  4. Step 4: Simplify right side
    11,902.50x = 121,893,402.50
  5. Step 5: Solve for x
    x = 121,893,402.50/11,902.50
  6. Step 6: Final answer
    x = 10,240.99

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