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Finding the Fourth Proportional to 8,097.61, 11,174.07 and 4,739.95

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Solution

The fourth proportional to 8,097.61, 11,174.07 and 4,739.95 is: 6,540.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.61 : 11,174.07 = 4,739.95 : x
  2. Step 2: Convert to fraction form
    8,097.61/11,174.07 = 4,739.95/x
  3. Step 3: Cross multiply
    8,097.61x = 11,174.07 × 4,739.95
  4. Step 4: Simplify right side
    8,097.61x = 52,964,533.10
  5. Step 5: Solve for x
    x = 52,964,533.10/8,097.61
  6. Step 6: Final answer
    x = 6,540.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.