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Finding the Fourth Proportional to 8,972.50, 13,458.87 and 2,816.50

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Solution

The fourth proportional to 8,972.50, 13,458.87 and 2,816.50 is: 4,224.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.50 : 13,458.87 = 2,816.50 : x
  2. Step 2: Convert to fraction form
    8,972.50/13,458.87 = 2,816.50/x
  3. Step 3: Cross multiply
    8,972.50x = 13,458.87 × 2,816.50
  4. Step 4: Simplify right side
    8,972.50x = 37,906,907.36
  5. Step 5: Solve for x
    x = 37,906,907.36/8,972.50
  6. Step 6: Final answer
    x = 4,224.79

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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.