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Finding the Fourth Proportional to 5,367.18, 8,041.99 and 5,162.16

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Solution

The fourth proportional to 5,367.18, 8,041.99 and 5,162.16 is: 7,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.18 : 8,041.99 = 5,162.16 : x
  2. Step 2: Convert to fraction form
    5,367.18/8,041.99 = 5,162.16/x
  3. Step 3: Cross multiply
    5,367.18x = 8,041.99 × 5,162.16
  4. Step 4: Simplify right side
    5,367.18x = 41,514,039.10
  5. Step 5: Solve for x
    x = 41,514,039.10/5,367.18
  6. Step 6: Final answer
    x = 7,734.80

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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.