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Finding the Fourth Proportional to 7,453.44, 11,169.68 and 5,886.56

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Solution

The fourth proportional to 7,453.44, 11,169.68 and 5,886.56 is: 8,821.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453.44 : 11,169.68 = 5,886.56 : x
  2. Step 2: Convert to fraction form
    7,453.44/11,169.68 = 5,886.56/x
  3. Step 3: Cross multiply
    7,453.44x = 11,169.68 × 5,886.56
  4. Step 4: Simplify right side
    7,453.44x = 65,750,991.50
  5. Step 5: Solve for x
    x = 65,750,991.50/7,453.44
  6. Step 6: Final answer
    x = 8,821.56

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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.