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Finding the Fourth Proportional to 11,005.66, 16,509.17 and 4,431.84

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Solution

The fourth proportional to 11,005.66, 16,509.17 and 4,431.84 is: 6,648.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005.66 : 16,509.17 = 4,431.84 : x
  2. Step 2: Convert to fraction form
    11,005.66/16,509.17 = 4,431.84/x
  3. Step 3: Cross multiply
    11,005.66x = 16,509.17 × 4,431.84
  4. Step 4: Simplify right side
    11,005.66x = 73,165,999.97
  5. Step 5: Solve for x
    x = 73,165,999.97/11,005.66
  6. Step 6: Final answer
    x = 6,648.03

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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.