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Finding the Fourth Proportional to 11,856.43, 17,782.21 and 4,357.41

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Solution

The fourth proportional to 11,856.43, 17,782.21 and 4,357.41 is: 6,535.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.43 : 17,782.21 = 4,357.41 : x
  2. Step 2: Convert to fraction form
    11,856.43/17,782.21 = 4,357.41/x
  3. Step 3: Cross multiply
    11,856.43x = 17,782.21 × 4,357.41
  4. Step 4: Simplify right side
    11,856.43x = 77,484,379.68
  5. Step 5: Solve for x
    x = 77,484,379.68/11,856.43
  6. Step 6: Final answer
    x = 6,535.22

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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.