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Finding the Fourth Proportional to 7,964.52, 11,951.88 and 3,347.52

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Solution

The fourth proportional to 7,964.52, 11,951.88 and 3,347.52 is: 5,023.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.52 : 11,951.88 = 3,347.52 : x
  2. Step 2: Convert to fraction form
    7,964.52/11,951.88 = 3,347.52/x
  3. Step 3: Cross multiply
    7,964.52x = 11,951.88 × 3,347.52
  4. Step 4: Simplify right side
    7,964.52x = 40,009,157.34
  5. Step 5: Solve for x
    x = 40,009,157.34/7,964.52
  6. Step 6: Final answer
    x = 5,023.42

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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.