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Finding the Fourth Proportional to 10,394.66, 14,311.40 and 8,411.78

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Solution

The fourth proportional to 10,394.66, 14,311.40 and 8,411.78 is: 11,581.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.66 : 14,311.40 = 8,411.78 : x
  2. Step 2: Convert to fraction form
    10,394.66/14,311.40 = 8,411.78/x
  3. Step 3: Cross multiply
    10,394.66x = 14,311.40 × 8,411.78
  4. Step 4: Simplify right side
    10,394.66x = 120,384,348.29
  5. Step 5: Solve for x
    x = 120,384,348.29/10,394.66
  6. Step 6: Final answer
    x = 11,581.36

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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.