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Finding the Fourth Proportional to 11,599.42, 17,401.83 and 3,807.76

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Solution

The fourth proportional to 11,599.42, 17,401.83 and 3,807.76 is: 5,712.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.42 : 17,401.83 = 3,807.76 : x
  2. Step 2: Convert to fraction form
    11,599.42/17,401.83 = 3,807.76/x
  3. Step 3: Cross multiply
    11,599.42x = 17,401.83 × 3,807.76
  4. Step 4: Simplify right side
    11,599.42x = 66,261,992.20
  5. Step 5: Solve for x
    x = 66,261,992.20/11,599.42
  6. Step 6: Final answer
    x = 5,712.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.