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Finding the Fourth Proportional to 7,661.34, 11,493.08 and 2,729.52

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Solution

The fourth proportional to 7,661.34, 11,493.08 and 2,729.52 is: 4,094.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.34 : 11,493.08 = 2,729.52 : x
  2. Step 2: Convert to fraction form
    7,661.34/11,493.08 = 2,729.52/x
  3. Step 3: Cross multiply
    7,661.34x = 11,493.08 × 2,729.52
  4. Step 4: Simplify right side
    7,661.34x = 31,370,591.72
  5. Step 5: Solve for x
    x = 31,370,591.72/7,661.34
  6. Step 6: Final answer
    x = 4,094.66

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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.