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Finding the Fourth Proportional to 10,976.98, 15,146.97 and 6,196.68

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Solution

The fourth proportional to 10,976.98, 15,146.97 and 6,196.68 is: 8,550.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976.98 : 15,146.97 = 6,196.68 : x
  2. Step 2: Convert to fraction form
    10,976.98/15,146.97 = 6,196.68/x
  3. Step 3: Cross multiply
    10,976.98x = 15,146.97 × 6,196.68
  4. Step 4: Simplify right side
    10,976.98x = 93,860,895.08
  5. Step 5: Solve for x
    x = 93,860,895.08/10,976.98
  6. Step 6: Final answer
    x = 8,550.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.