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Finding the Fourth Proportional to 8,974.40, 13,453.32 and 4,817.32

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Solution

The fourth proportional to 8,974.40, 13,453.32 and 4,817.32 is: 7,221.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.40 : 13,453.32 = 4,817.32 : x
  2. Step 2: Convert to fraction form
    8,974.40/13,453.32 = 4,817.32/x
  3. Step 3: Cross multiply
    8,974.40x = 13,453.32 × 4,817.32
  4. Step 4: Simplify right side
    8,974.40x = 64,808,947.50
  5. Step 5: Solve for x
    x = 64,808,947.50/8,974.40
  6. Step 6: Final answer
    x = 7,221.54

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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.