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Finding the Fourth Proportional to 6,100.68, 8,441.16 and 5,316.36

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Solution

The fourth proportional to 6,100.68, 8,441.16 and 5,316.36 is: 7,355.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.68 : 8,441.16 = 5,316.36 : x
  2. Step 2: Convert to fraction form
    6,100.68/8,441.16 = 5,316.36/x
  3. Step 3: Cross multiply
    6,100.68x = 8,441.16 × 5,316.36
  4. Step 4: Simplify right side
    6,100.68x = 44,876,245.38
  5. Step 5: Solve for x
    x = 44,876,245.38/6,100.68
  6. Step 6: Final answer
    x = 7,355.94

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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.