Home / 10,972.50-16,458.78-2,764.50

Finding the Fourth Proportional to 10,972.50, 16,458.78 and 2,764.50

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Solution

The fourth proportional to 10,972.50, 16,458.78 and 2,764.50 is: 4,146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972.50 : 16,458.78 = 2,764.50 : x
  2. Step 2: Convert to fraction form
    10,972.50/16,458.78 = 2,764.50/x
  3. Step 3: Cross multiply
    10,972.50x = 16,458.78 × 2,764.50
  4. Step 4: Simplify right side
    10,972.50x = 45,500,297.31
  5. Step 5: Solve for x
    x = 45,500,297.31/10,972.50
  6. Step 6: Final answer
    x = 4,146.76

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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.