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Finding the Fourth Proportional to 10,735.36, 16,102.50 and 2,944.18

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Solution

The fourth proportional to 10,735.36, 16,102.50 and 2,944.18 is: 4,416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.36 : 16,102.50 = 2,944.18 : x
  2. Step 2: Convert to fraction form
    10,735.36/16,102.50 = 2,944.18/x
  3. Step 3: Cross multiply
    10,735.36x = 16,102.50 × 2,944.18
  4. Step 4: Simplify right side
    10,735.36x = 47,408,658.45
  5. Step 5: Solve for x
    x = 47,408,658.45/10,735.36
  6. Step 6: Final answer
    x = 4,416.12

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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.