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Finding the Fourth Proportional to 11,747.19, 16,211.10 and 6,442.10

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Solution

The fourth proportional to 11,747.19, 16,211.10 and 6,442.10 is: 8,890.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.19 : 16,211.10 = 6,442.10 : x
  2. Step 2: Convert to fraction form
    11,747.19/16,211.10 = 6,442.10/x
  3. Step 3: Cross multiply
    11,747.19x = 16,211.10 × 6,442.10
  4. Step 4: Simplify right side
    11,747.19x = 104,433,446.25
  5. Step 5: Solve for x
    x = 104,433,446.25/11,747.19
  6. Step 6: Final answer
    x = 8,890.08

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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.