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Finding the Fourth Proportional to 8,026.98, 11,077.65 and 4,490.25

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Solution

The fourth proportional to 8,026.98, 11,077.65 and 4,490.25 is: 6,196.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.98 : 11,077.65 = 4,490.25 : x
  2. Step 2: Convert to fraction form
    8,026.98/11,077.65 = 4,490.25/x
  3. Step 3: Cross multiply
    8,026.98x = 11,077.65 × 4,490.25
  4. Step 4: Simplify right side
    8,026.98x = 49,741,417.91
  5. Step 5: Solve for x
    x = 49,741,417.91/8,026.98
  6. Step 6: Final answer
    x = 6,196.78

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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.