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Finding the Fourth Proportional to 11,921.87, 16,451.42 and 7,445.36

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Solution

The fourth proportional to 11,921.87, 16,451.42 and 7,445.36 is: 10,274.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,921.87 : 16,451.42 = 7,445.36 : x
  2. Step 2: Convert to fraction form
    11,921.87/16,451.42 = 7,445.36/x
  3. Step 3: Cross multiply
    11,921.87x = 16,451.42 × 7,445.36
  4. Step 4: Simplify right side
    11,921.87x = 122,486,744.41
  5. Step 5: Solve for x
    x = 122,486,744.41/11,921.87
  6. Step 6: Final answer
    x = 10,274.12

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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.