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Finding the Fourth Proportional to 11,059.48, 16,589.34 and 7,161.88

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Solution

The fourth proportional to 11,059.48, 16,589.34 and 7,161.88 is: 10,742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,059.48 : 16,589.34 = 7,161.88 : x
  2. Step 2: Convert to fraction form
    11,059.48/16,589.34 = 7,161.88/x
  3. Step 3: Cross multiply
    11,059.48x = 16,589.34 × 7,161.88
  4. Step 4: Simplify right side
    11,059.48x = 118,810,862.36
  5. Step 5: Solve for x
    x = 118,810,862.36/11,059.48
  6. Step 6: Final answer
    x = 10,742.90

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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.