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Finding the Fourth Proportional to 11,424.39, 17,141.85 and 7,039.05

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Solution

The fourth proportional to 11,424.39, 17,141.85 and 7,039.05 is: 10,561.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.39 : 17,141.85 = 7,039.05 : x
  2. Step 2: Convert to fraction form
    11,424.39/17,141.85 = 7,039.05/x
  3. Step 3: Cross multiply
    11,424.39x = 17,141.85 × 7,039.05
  4. Step 4: Simplify right side
    11,424.39x = 120,662,339.24
  5. Step 5: Solve for x
    x = 120,662,339.24/11,424.39
  6. Step 6: Final answer
    x = 10,561.82

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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.