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Finding the Fourth Proportional to 10,841.30, 16,267.94 and 5,294.68

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Solution

The fourth proportional to 10,841.30, 16,267.94 and 5,294.68 is: 7,944.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,841.30 : 16,267.94 = 5,294.68 : x
  2. Step 2: Convert to fraction form
    10,841.30/16,267.94 = 5,294.68/x
  3. Step 3: Cross multiply
    10,841.30x = 16,267.94 × 5,294.68
  4. Step 4: Simplify right side
    10,841.30x = 86,133,536.56
  5. Step 5: Solve for x
    x = 86,133,536.56/10,841.30
  6. Step 6: Final answer
    x = 7,944.95

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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.