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Finding the Fourth Proportional to 7,366.86, 11,049.93 and 2,749.50

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Solution

The fourth proportional to 7,366.86, 11,049.93 and 2,749.50 is: 4,124.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,366.86 : 11,049.93 = 2,749.50 : x
  2. Step 2: Convert to fraction form
    7,366.86/11,049.93 = 2,749.50/x
  3. Step 3: Cross multiply
    7,366.86x = 11,049.93 × 2,749.50
  4. Step 4: Simplify right side
    7,366.86x = 30,381,782.54
  5. Step 5: Solve for x
    x = 30,381,782.54/7,366.86
  6. Step 6: Final answer
    x = 4,124.12

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Why These Related Problems?

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