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Finding the Fourth Proportional to 8,775, 12,109.50 and 5,049

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Solution

The fourth proportional to 8,775, 12,109.50 and 5,049 is: 6,967.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,775 : 12,109.50 = 5,049 : x
  2. Step 2: Convert to fraction form
    8,775/12,109.50 = 5,049/x
  3. Step 3: Cross multiply
    8,775x = 12,109.50 × 5,049
  4. Step 4: Simplify right side
    8,775x = 61,140,865.50
  5. Step 5: Solve for x
    x = 61,140,865.50/8,775
  6. Step 6: Final answer
    x = 6,967.62

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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.