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Finding the Fourth Proportional to 7,438.02, 11,138.78 and 3,533

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Solution

The fourth proportional to 7,438.02, 11,138.78 and 3,533 is: 5,290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.02 : 11,138.78 = 3,533 : x
  2. Step 2: Convert to fraction form
    7,438.02/11,138.78 = 3,533/x
  3. Step 3: Cross multiply
    7,438.02x = 11,138.78 × 3,533
  4. Step 4: Simplify right side
    7,438.02x = 39,353,309.74
  5. Step 5: Solve for x
    x = 39,353,309.74/7,438.02
  6. Step 6: Final answer
    x = 5,290.83

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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.