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Finding the Fourth Proportional to 11,410.42, 15,746.22 and 8,049.72

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Solution

The fourth proportional to 11,410.42, 15,746.22 and 8,049.72 is: 11,108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.42 : 15,746.22 = 8,049.72 : x
  2. Step 2: Convert to fraction form
    11,410.42/15,746.22 = 8,049.72/x
  3. Step 3: Cross multiply
    11,410.42x = 15,746.22 × 8,049.72
  4. Step 4: Simplify right side
    11,410.42x = 126,752,662.06
  5. Step 5: Solve for x
    x = 126,752,662.06/11,410.42
  6. Step 6: Final answer
    x = 11,108.50

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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.