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Finding the Fourth Proportional to 10,993.76, 15,172.24 and 6,279.52

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Solution

The fourth proportional to 10,993.76, 15,172.24 and 6,279.52 is: 8,666.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.76 : 15,172.24 = 6,279.52 : x
  2. Step 2: Convert to fraction form
    10,993.76/15,172.24 = 6,279.52/x
  3. Step 3: Cross multiply
    10,993.76x = 15,172.24 × 6,279.52
  4. Step 4: Simplify right side
    10,993.76x = 95,274,384.52
  5. Step 5: Solve for x
    x = 95,274,384.52/10,993.76
  6. Step 6: Final answer
    x = 8,666.22

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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.