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Finding the Fourth Proportional to 7,438.44, 11,159.50 and 5,251.44

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Solution

The fourth proportional to 7,438.44, 11,159.50 and 5,251.44 is: 7,878.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.44 : 11,159.50 = 5,251.44 : x
  2. Step 2: Convert to fraction form
    7,438.44/11,159.50 = 5,251.44/x
  3. Step 3: Cross multiply
    7,438.44x = 11,159.50 × 5,251.44
  4. Step 4: Simplify right side
    7,438.44x = 58,603,444.68
  5. Step 5: Solve for x
    x = 58,603,444.68/7,438.44
  6. Step 6: Final answer
    x = 7,878.46

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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.