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Finding the Fourth Proportional to 7,951.81, 11,917.41 and 3,266.52

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Solution

The fourth proportional to 7,951.81, 11,917.41 and 3,266.52 is: 4,895.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.81 : 11,917.41 = 3,266.52 : x
  2. Step 2: Convert to fraction form
    7,951.81/11,917.41 = 3,266.52/x
  3. Step 3: Cross multiply
    7,951.81x = 11,917.41 × 3,266.52
  4. Step 4: Simplify right side
    7,951.81x = 38,928,458.11
  5. Step 5: Solve for x
    x = 38,928,458.11/7,951.81
  6. Step 6: Final answer
    x = 4,895.55

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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.