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Finding the Fourth Proportional to 8,932.50, 13,399.47 and 2,776.50

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Solution

The fourth proportional to 8,932.50, 13,399.47 and 2,776.50 is: 4,164.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,932.50 : 13,399.47 = 2,776.50 : x
  2. Step 2: Convert to fraction form
    8,932.50/13,399.47 = 2,776.50/x
  3. Step 3: Cross multiply
    8,932.50x = 13,399.47 × 2,776.50
  4. Step 4: Simplify right side
    8,932.50x = 37,203,628.46
  5. Step 5: Solve for x
    x = 37,203,628.46/8,932.50
  6. Step 6: Final answer
    x = 4,164.97

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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.