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Finding the Fourth Proportional to 11,456.70, 17,187.78 and 4,061.81

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Solution

The fourth proportional to 11,456.70, 17,187.78 and 4,061.81 is: 6,093.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.70 : 17,187.78 = 4,061.81 : x
  2. Step 2: Convert to fraction form
    11,456.70/17,187.78 = 4,061.81/x
  3. Step 3: Cross multiply
    11,456.70x = 17,187.78 × 4,061.81
  4. Step 4: Simplify right side
    11,456.70x = 69,813,410.74
  5. Step 5: Solve for x
    x = 69,813,410.74/11,456.70
  6. Step 6: Final answer
    x = 6,093.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.