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Finding the Fourth Proportional to 8,099, 11,172.80 and 4,739.74

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Solution

The fourth proportional to 8,099, 11,172.80 and 4,739.74 is: 6,538.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099 : 11,172.80 = 4,739.74 : x
  2. Step 2: Convert to fraction form
    8,099/11,172.80 = 4,739.74/x
  3. Step 3: Cross multiply
    8,099x = 11,172.80 × 4,739.74
  4. Step 4: Simplify right side
    8,099x = 52,956,167.07
  5. Step 5: Solve for x
    x = 52,956,167.07/8,099
  6. Step 6: Final answer
    x = 6,538.61

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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.