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Finding the Fourth Proportional to 8,099.95, 11,105.02 and 7,952.32

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Solution

The fourth proportional to 8,099.95, 11,105.02 and 7,952.32 is: 10,902.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.95 : 11,105.02 = 7,952.32 : x
  2. Step 2: Convert to fraction form
    8,099.95/11,105.02 = 7,952.32/x
  3. Step 3: Cross multiply
    8,099.95x = 11,105.02 × 7,952.32
  4. Step 4: Simplify right side
    8,099.95x = 88,310,730.23
  5. Step 5: Solve for x
    x = 88,310,730.23/8,099.95
  6. Step 6: Final answer
    x = 10,902.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.