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Finding the Fourth Proportional to 11,614, 16,026.24 and 6,899.44

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Solution

The fourth proportional to 11,614, 16,026.24 and 6,899.44 is: 9,520.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614 : 16,026.24 = 6,899.44 : x
  2. Step 2: Convert to fraction form
    11,614/16,026.24 = 6,899.44/x
  3. Step 3: Cross multiply
    11,614x = 16,026.24 × 6,899.44
  4. Step 4: Simplify right side
    11,614x = 110,572,081.31
  5. Step 5: Solve for x
    x = 110,572,081.31/11,614
  6. Step 6: Final answer
    x = 9,520.59

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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.