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Finding the Fourth Proportional to 10,991.88, 16,494.30 and 4,071.24

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Solution

The fourth proportional to 10,991.88, 16,494.30 and 4,071.24 is: 6,109.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,991.88 : 16,494.30 = 4,071.24 : x
  2. Step 2: Convert to fraction form
    10,991.88/16,494.30 = 4,071.24/x
  3. Step 3: Cross multiply
    10,991.88x = 16,494.30 × 4,071.24
  4. Step 4: Simplify right side
    10,991.88x = 67,152,253.93
  5. Step 5: Solve for x
    x = 67,152,253.93/10,991.88
  6. Step 6: Final answer
    x = 6,109.26

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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.