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Finding the Fourth Proportional to 11,364.50, 16,999.28 and 7,987.06

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Solution

The fourth proportional to 11,364.50, 16,999.28 and 7,987.06 is: 11,947.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364.50 : 16,999.28 = 7,987.06 : x
  2. Step 2: Convert to fraction form
    11,364.50/16,999.28 = 7,987.06/x
  3. Step 3: Cross multiply
    11,364.50x = 16,999.28 × 7,987.06
  4. Step 4: Simplify right side
    11,364.50x = 135,774,221.54
  5. Step 5: Solve for x
    x = 135,774,221.54/11,364.50
  6. Step 6: Final answer
    x = 11,947.22

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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.