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Finding the Fourth Proportional to 11,036.08, 16,546.02 and 5,189.50

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Solution

The fourth proportional to 11,036.08, 16,546.02 and 5,189.50 is: 7,780.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,036.08 : 16,546.02 = 5,189.50 : x
  2. Step 2: Convert to fraction form
    11,036.08/16,546.02 = 5,189.50/x
  3. Step 3: Cross multiply
    11,036.08x = 16,546.02 × 5,189.50
  4. Step 4: Simplify right side
    11,036.08x = 85,865,570.79
  5. Step 5: Solve for x
    x = 85,865,570.79/11,036.08
  6. Step 6: Final answer
    x = 7,780.44

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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.