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Finding the Fourth Proportional to 8,095.08, 11,166.12 and 5,108.40

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Solution

The fourth proportional to 8,095.08, 11,166.12 and 5,108.40 is: 7,046.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.08 : 11,166.12 = 5,108.40 : x
  2. Step 2: Convert to fraction form
    8,095.08/11,166.12 = 5,108.40/x
  3. Step 3: Cross multiply
    8,095.08x = 11,166.12 × 5,108.40
  4. Step 4: Simplify right side
    8,095.08x = 57,041,007.41
  5. Step 5: Solve for x
    x = 57,041,007.41/8,095.08
  6. Step 6: Final answer
    x = 7,046.38

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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.