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Finding the Fourth Proportional to 8,193.72, 12,262.50 and 5,072.52

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Solution

The fourth proportional to 8,193.72, 12,262.50 and 5,072.52 is: 7,591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.72 : 12,262.50 = 5,072.52 : x
  2. Step 2: Convert to fraction form
    8,193.72/12,262.50 = 5,072.52/x
  3. Step 3: Cross multiply
    8,193.72x = 12,262.50 × 5,072.52
  4. Step 4: Simplify right side
    8,193.72x = 62,201,776.50
  5. Step 5: Solve for x
    x = 62,201,776.50/8,193.72
  6. Step 6: Final answer
    x = 7,591.40

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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.