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Finding the Fourth Proportional to 10,993.50, 15,172.11 and 6,277.86

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Solution

The fourth proportional to 10,993.50, 15,172.11 and 6,277.86 is: 8,664.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.50 : 15,172.11 = 6,277.86 : x
  2. Step 2: Convert to fraction form
    10,993.50/15,172.11 = 6,277.86/x
  3. Step 3: Cross multiply
    10,993.50x = 15,172.11 × 6,277.86
  4. Step 4: Simplify right side
    10,993.50x = 95,248,382.48
  5. Step 5: Solve for x
    x = 95,248,382.48/10,993.50
  6. Step 6: Final answer
    x = 8,664.06

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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.