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Finding the Fourth Proportional to 7,965.03, 11,952.35 and 2,774.55

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Solution

The fourth proportional to 7,965.03, 11,952.35 and 2,774.55 is: 4,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.03 : 11,952.35 = 2,774.55 : x
  2. Step 2: Convert to fraction form
    7,965.03/11,952.35 = 2,774.55/x
  3. Step 3: Cross multiply
    7,965.03x = 11,952.35 × 2,774.55
  4. Step 4: Simplify right side
    7,965.03x = 33,162,392.69
  5. Step 5: Solve for x
    x = 33,162,392.69/7,965.03
  6. Step 6: Final answer
    x = 4,163.50

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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.