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Finding the Fourth Proportional to 11,539.44, 15,911.10 and 9,855.72

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Solution

The fourth proportional to 11,539.44, 15,911.10 and 9,855.72 is: 13,589.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.44 : 15,911.10 = 9,855.72 : x
  2. Step 2: Convert to fraction form
    11,539.44/15,911.10 = 9,855.72/x
  3. Step 3: Cross multiply
    11,539.44x = 15,911.10 × 9,855.72
  4. Step 4: Simplify right side
    11,539.44x = 156,815,346.49
  5. Step 5: Solve for x
    x = 156,815,346.49/11,539.44
  6. Step 6: Final answer
    x = 13,589.51

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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.