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Finding the Fourth Proportional to 7,764.34, 11,646.61 and 3,381.64

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Solution

The fourth proportional to 7,764.34, 11,646.61 and 3,381.64 is: 5,072.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.34 : 11,646.61 = 3,381.64 : x
  2. Step 2: Convert to fraction form
    7,764.34/11,646.61 = 3,381.64/x
  3. Step 3: Cross multiply
    7,764.34x = 11,646.61 × 3,381.64
  4. Step 4: Simplify right side
    7,764.34x = 39,384,584.01
  5. Step 5: Solve for x
    x = 39,384,584.01/7,764.34
  6. Step 6: Final answer
    x = 5,072.50

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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.