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Finding the Fourth Proportional to 8,338.78, 11,511.70 and 6,446.08

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Solution

The fourth proportional to 8,338.78, 11,511.70 and 6,446.08 is: 8,898.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.78 : 11,511.70 = 6,446.08 : x
  2. Step 2: Convert to fraction form
    8,338.78/11,511.70 = 6,446.08/x
  3. Step 3: Cross multiply
    8,338.78x = 11,511.70 × 6,446.08
  4. Step 4: Simplify right side
    8,338.78x = 74,205,339.14
  5. Step 5: Solve for x
    x = 74,205,339.14/8,338.78
  6. Step 6: Final answer
    x = 8,898.82

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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.