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Finding the Fourth Proportional to 11,249.36, 16,878.36 and 5,407.76

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Solution

The fourth proportional to 11,249.36, 16,878.36 and 5,407.76 is: 8,113.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,249.36 : 16,878.36 = 5,407.76 : x
  2. Step 2: Convert to fraction form
    11,249.36/16,878.36 = 5,407.76/x
  3. Step 3: Cross multiply
    11,249.36x = 16,878.36 × 5,407.76
  4. Step 4: Simplify right side
    11,249.36x = 91,274,120.07
  5. Step 5: Solve for x
    x = 91,274,120.07/11,249.36
  6. Step 6: Final answer
    x = 8,113.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.