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Finding the Fourth Proportional to 11,851.74, 16,346.07 and 11,056.86

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Solution

The fourth proportional to 11,851.74, 16,346.07 and 11,056.86 is: 15,249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.74 : 16,346.07 = 11,056.86 : x
  2. Step 2: Convert to fraction form
    11,851.74/16,346.07 = 11,056.86/x
  3. Step 3: Cross multiply
    11,851.74x = 16,346.07 × 11,056.86
  4. Step 4: Simplify right side
    11,851.74x = 180,736,207.54
  5. Step 5: Solve for x
    x = 180,736,207.54/11,851.74
  6. Step 6: Final answer
    x = 15,249.76

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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.