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Finding the Fourth Proportional to 11,261.82, 16,879.76 and 6,056.76

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Solution

The fourth proportional to 11,261.82, 16,879.76 and 6,056.76 is: 9,078.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,261.82 : 16,879.76 = 6,056.76 : x
  2. Step 2: Convert to fraction form
    11,261.82/16,879.76 = 6,056.76/x
  3. Step 3: Cross multiply
    11,261.82x = 16,879.76 × 6,056.76
  4. Step 4: Simplify right side
    11,261.82x = 102,236,655.18
  5. Step 5: Solve for x
    x = 102,236,655.18/11,261.82
  6. Step 6: Final answer
    x = 9,078.16

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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.