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Finding the Fourth Proportional to 11,747.88, 16,211.06 and 6,442.68

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Solution

The fourth proportional to 11,747.88, 16,211.06 and 6,442.68 is: 8,890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.88 : 16,211.06 = 6,442.68 : x
  2. Step 2: Convert to fraction form
    11,747.88/16,211.06 = 6,442.68/x
  3. Step 3: Cross multiply
    11,747.88x = 16,211.06 × 6,442.68
  4. Step 4: Simplify right side
    11,747.88x = 104,442,672.04
  5. Step 5: Solve for x
    x = 104,442,672.04/11,747.88
  6. Step 6: Final answer
    x = 8,890.34

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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.