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Finding the Fourth Proportional to 7,906.50, 10,911.15 and 5,116.86

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Solution

The fourth proportional to 7,906.50, 10,911.15 and 5,116.86 is: 7,061.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.50 : 10,911.15 = 5,116.86 : x
  2. Step 2: Convert to fraction form
    7,906.50/10,911.15 = 5,116.86/x
  3. Step 3: Cross multiply
    7,906.50x = 10,911.15 × 5,116.86
  4. Step 4: Simplify right side
    7,906.50x = 55,830,826.99
  5. Step 5: Solve for x
    x = 55,830,826.99/7,906.50
  6. Step 6: Final answer
    x = 7,061.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.