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Finding the Fourth Proportional to 10,809.36, 14,921.28 and 8,157.42

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Solution

The fourth proportional to 10,809.36, 14,921.28 and 8,157.42 is: 11,260.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.36 : 14,921.28 = 8,157.42 : x
  2. Step 2: Convert to fraction form
    10,809.36/14,921.28 = 8,157.42/x
  3. Step 3: Cross multiply
    10,809.36x = 14,921.28 × 8,157.42
  4. Step 4: Simplify right side
    10,809.36x = 121,719,147.90
  5. Step 5: Solve for x
    x = 121,719,147.90/10,809.36
  6. Step 6: Final answer
    x = 11,260.53

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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.