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Finding the Fourth Proportional to 11,856.81, 17,785.21 and 3,542.66

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Solution

The fourth proportional to 11,856.81, 17,785.21 and 3,542.66 is: 5,313.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.81 : 17,785.21 = 3,542.66 : x
  2. Step 2: Convert to fraction form
    11,856.81/17,785.21 = 3,542.66/x
  3. Step 3: Cross multiply
    11,856.81x = 17,785.21 × 3,542.66
  4. Step 4: Simplify right side
    11,856.81x = 63,006,927.61
  5. Step 5: Solve for x
    x = 63,006,927.61/11,856.81
  6. Step 6: Final answer
    x = 5,313.99

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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.