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Finding the Fourth Proportional to 8,775, 12,109.50 and 5,635.44

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Solution

The fourth proportional to 8,775, 12,109.50 and 5,635.44 is: 7,776.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,775 : 12,109.50 = 5,635.44 : x
  2. Step 2: Convert to fraction form
    8,775/12,109.50 = 5,635.44/x
  3. Step 3: Cross multiply
    8,775x = 12,109.50 × 5,635.44
  4. Step 4: Simplify right side
    8,775x = 68,242,360.68
  5. Step 5: Solve for x
    x = 68,242,360.68/8,775
  6. Step 6: Final answer
    x = 7,776.91

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