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Finding the Fourth Proportional to 8,405.73, 11,596.42 and 5,002.05

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Solution

The fourth proportional to 8,405.73, 11,596.42 and 5,002.05 is: 6,900.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.73 : 11,596.42 = 5,002.05 : x
  2. Step 2: Convert to fraction form
    8,405.73/11,596.42 = 5,002.05/x
  3. Step 3: Cross multiply
    8,405.73x = 11,596.42 × 5,002.05
  4. Step 4: Simplify right side
    8,405.73x = 58,005,918.84
  5. Step 5: Solve for x
    x = 58,005,918.84/8,405.73
  6. Step 6: Final answer
    x = 6,900.76

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