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Finding the Fourth Proportional to 6,876.98, 10,316.06 and 2,197.65

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Solution

The fourth proportional to 6,876.98, 10,316.06 and 2,197.65 is: 3,296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.98 : 10,316.06 = 2,197.65 : x
  2. Step 2: Convert to fraction form
    6,876.98/10,316.06 = 2,197.65/x
  3. Step 3: Cross multiply
    6,876.98x = 10,316.06 × 2,197.65
  4. Step 4: Simplify right side
    6,876.98x = 22,671,078.27
  5. Step 5: Solve for x
    x = 22,671,078.27/6,876.98
  6. Step 6: Final answer
    x = 3,296.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.