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Finding the Fourth Proportional to 11,041.16, 16,558.24 and 3,644

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Solution

The fourth proportional to 11,041.16, 16,558.24 and 3,644 is: 5,464.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,041.16 : 16,558.24 = 3,644 : x
  2. Step 2: Convert to fraction form
    11,041.16/16,558.24 = 3,644/x
  3. Step 3: Cross multiply
    11,041.16x = 16,558.24 × 3,644
  4. Step 4: Simplify right side
    11,041.16x = 60,338,226.56
  5. Step 5: Solve for x
    x = 60,338,226.56/11,041.16
  6. Step 6: Final answer
    x = 5,464.84

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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.