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Finding the Fourth Proportional to 8,265.08, 12,396.54 and 3,647

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Solution

The fourth proportional to 8,265.08, 12,396.54 and 3,647 is: 5,470.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265.08 : 12,396.54 = 3,647 : x
  2. Step 2: Convert to fraction form
    8,265.08/12,396.54 = 3,647/x
  3. Step 3: Cross multiply
    8,265.08x = 12,396.54 × 3,647
  4. Step 4: Simplify right side
    8,265.08x = 45,210,181.38
  5. Step 5: Solve for x
    x = 45,210,181.38/8,265.08
  6. Step 6: Final answer
    x = 5,470.02

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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.