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Finding the Fourth Proportional to 10,367.95, 15,552.74 and 5,105.79

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Solution

The fourth proportional to 10,367.95, 15,552.74 and 5,105.79 is: 7,659.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.95 : 15,552.74 = 5,105.79 : x
  2. Step 2: Convert to fraction form
    10,367.95/15,552.74 = 5,105.79/x
  3. Step 3: Cross multiply
    10,367.95x = 15,552.74 × 5,105.79
  4. Step 4: Simplify right side
    10,367.95x = 79,409,024.36
  5. Step 5: Solve for x
    x = 79,409,024.36/10,367.95
  6. Step 6: Final answer
    x = 7,659.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.