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Finding the Fourth Proportional to 10,111.74, 15,166.99 and 3,785.37

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Solution

The fourth proportional to 10,111.74, 15,166.99 and 3,785.37 is: 5,677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,111.74 : 15,166.99 = 3,785.37 : x
  2. Step 2: Convert to fraction form
    10,111.74/15,166.99 = 3,785.37/x
  3. Step 3: Cross multiply
    10,111.74x = 15,166.99 × 3,785.37
  4. Step 4: Simplify right side
    10,111.74x = 57,412,668.94
  5. Step 5: Solve for x
    x = 57,412,668.94/10,111.74
  6. Step 6: Final answer
    x = 5,677.82

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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.