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Finding the Fourth Proportional to 7,532.78, 11,297.34 and 5,885.24

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Solution

The fourth proportional to 7,532.78, 11,297.34 and 5,885.24 is: 8,826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,532.78 : 11,297.34 = 5,885.24 : x
  2. Step 2: Convert to fraction form
    7,532.78/11,297.34 = 5,885.24/x
  3. Step 3: Cross multiply
    7,532.78x = 11,297.34 × 5,885.24
  4. Step 4: Simplify right side
    7,532.78x = 66,487,500.77
  5. Step 5: Solve for x
    x = 66,487,500.77/7,532.78
  6. Step 6: Final answer
    x = 8,826.43

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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.