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Finding the Fourth Proportional to 11,005.22, 16,507.64 and 4,431.24

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Solution

The fourth proportional to 11,005.22, 16,507.64 and 4,431.24 is: 6,646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005.22 : 16,507.64 = 4,431.24 : x
  2. Step 2: Convert to fraction form
    11,005.22/16,507.64 = 4,431.24/x
  3. Step 3: Cross multiply
    11,005.22x = 16,507.64 × 4,431.24
  4. Step 4: Simplify right side
    11,005.22x = 73,149,292.52
  5. Step 5: Solve for x
    x = 73,149,292.52/11,005.22
  6. Step 6: Final answer
    x = 6,646.78

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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.