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Finding the Fourth Proportional to 11,328.26, 16,991.92 and 5,781.50

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Solution

The fourth proportional to 11,328.26, 16,991.92 and 5,781.50 is: 8,672.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,328.26 : 16,991.92 = 5,781.50 : x
  2. Step 2: Convert to fraction form
    11,328.26/16,991.92 = 5,781.50/x
  3. Step 3: Cross multiply
    11,328.26x = 16,991.92 × 5,781.50
  4. Step 4: Simplify right side
    11,328.26x = 98,238,785.48
  5. Step 5: Solve for x
    x = 98,238,785.48/11,328.26
  6. Step 6: Final answer
    x = 8,672.01

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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.