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Finding the Fourth Proportional to 11,509.42, 15,844.60 and 10,980.44

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Solution

The fourth proportional to 11,509.42, 15,844.60 and 10,980.44 is: 15,116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.42 : 15,844.60 = 10,980.44 : x
  2. Step 2: Convert to fraction form
    11,509.42/15,844.60 = 10,980.44/x
  3. Step 3: Cross multiply
    11,509.42x = 15,844.60 × 10,980.44
  4. Step 4: Simplify right side
    11,509.42x = 173,980,679.62
  5. Step 5: Solve for x
    x = 173,980,679.62/11,509.42
  6. Step 6: Final answer
    x = 15,116.37

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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.