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Finding the Fourth Proportional to 8,997, 13,500.12 and 5,052.72

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Solution

The fourth proportional to 8,997, 13,500.12 and 5,052.72 is: 7,581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,997 : 13,500.12 = 5,052.72 : x
  2. Step 2: Convert to fraction form
    8,997/13,500.12 = 5,052.72/x
  3. Step 3: Cross multiply
    8,997x = 13,500.12 × 5,052.72
  4. Step 4: Simplify right side
    8,997x = 68,212,326.33
  5. Step 5: Solve for x
    x = 68,212,326.33/8,997
  6. Step 6: Final answer
    x = 7,581.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.