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Finding the Fourth Proportional to 11,054.55, 16,582 and 6,155.34

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Solution

The fourth proportional to 11,054.55, 16,582 and 6,155.34 is: 9,233.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,054.55 : 16,582 = 6,155.34 : x
  2. Step 2: Convert to fraction form
    11,054.55/16,582 = 6,155.34/x
  3. Step 3: Cross multiply
    11,054.55x = 16,582 × 6,155.34
  4. Step 4: Simplify right side
    11,054.55x = 102,067,847.88
  5. Step 5: Solve for x
    x = 102,067,847.88/11,054.55
  6. Step 6: Final answer
    x = 9,233.11

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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.