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Finding the Fourth Proportional to 7,431.70, 11,137.83 and 3,044.14

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Solution

The fourth proportional to 7,431.70, 11,137.83 and 3,044.14 is: 4,562.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.70 : 11,137.83 = 3,044.14 : x
  2. Step 2: Convert to fraction form
    7,431.70/11,137.83 = 3,044.14/x
  3. Step 3: Cross multiply
    7,431.70x = 11,137.83 × 3,044.14
  4. Step 4: Simplify right side
    7,431.70x = 33,905,113.82
  5. Step 5: Solve for x
    x = 33,905,113.82/7,431.70
  6. Step 6: Final answer
    x = 4,562.23

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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.