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Finding the Fourth Proportional to 8,632.80, 11,905.44 and 5,647.68

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Solution

The fourth proportional to 8,632.80, 11,905.44 and 5,647.68 is: 7,788.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.80 : 11,905.44 = 5,647.68 : x
  2. Step 2: Convert to fraction form
    8,632.80/11,905.44 = 5,647.68/x
  3. Step 3: Cross multiply
    8,632.80x = 11,905.44 × 5,647.68
  4. Step 4: Simplify right side
    8,632.80x = 67,238,115.38
  5. Step 5: Solve for x
    x = 67,238,115.38/8,632.80
  6. Step 6: Final answer
    x = 7,788.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.