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Finding the Fourth Proportional to 11,901.30, 16,420.77 and 7,424.70

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Solution

The fourth proportional to 11,901.30, 16,420.77 and 7,424.70 is: 10,244.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.30 : 16,420.77 = 7,424.70 : x
  2. Step 2: Convert to fraction form
    11,901.30/16,420.77 = 7,424.70/x
  3. Step 3: Cross multiply
    11,901.30x = 16,420.77 × 7,424.70
  4. Step 4: Simplify right side
    11,901.30x = 121,919,291.02
  5. Step 5: Solve for x
    x = 121,919,291.02/11,901.30
  6. Step 6: Final answer
    x = 10,244.20

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Why These Related Problems?

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