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Finding the Fourth Proportional to 11,747.77, 16,212.08 and 6,442.23

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Solution

The fourth proportional to 11,747.77, 16,212.08 and 6,442.23 is: 8,890.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.77 : 16,212.08 = 6,442.23 : x
  2. Step 2: Convert to fraction form
    11,747.77/16,212.08 = 6,442.23/x
  3. Step 3: Cross multiply
    11,747.77x = 16,212.08 × 6,442.23
  4. Step 4: Simplify right side
    11,747.77x = 104,442,025.04
  5. Step 5: Solve for x
    x = 104,442,025.04/11,747.77
  6. Step 6: Final answer
    x = 8,890.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.