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Finding the Fourth Proportional to 7,976.98, 11,992.50 and 6,427.86

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Solution

The fourth proportional to 7,976.98, 11,992.50 and 6,427.86 is: 9,663.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976.98 : 11,992.50 = 6,427.86 : x
  2. Step 2: Convert to fraction form
    7,976.98/11,992.50 = 6,427.86/x
  3. Step 3: Cross multiply
    7,976.98x = 11,992.50 × 6,427.86
  4. Step 4: Simplify right side
    7,976.98x = 77,086,111.05
  5. Step 5: Solve for x
    x = 77,086,111.05/7,976.98
  6. Step 6: Final answer
    x = 9,663.57

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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.