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Finding the Fourth Proportional to 11,710.26, 16,159.77 and 6,991.74

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Solution

The fourth proportional to 11,710.26, 16,159.77 and 6,991.74 is: 9,648.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.26 : 16,159.77 = 6,991.74 : x
  2. Step 2: Convert to fraction form
    11,710.26/16,159.77 = 6,991.74/x
  3. Step 3: Cross multiply
    11,710.26x = 16,159.77 × 6,991.74
  4. Step 4: Simplify right side
    11,710.26x = 112,984,910.30
  5. Step 5: Solve for x
    x = 112,984,910.30/11,710.26
  6. Step 6: Final answer
    x = 9,648.37

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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.