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Finding the Fourth Proportional to 11,762.76, 16,209.17 and 8,396.10

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Solution

The fourth proportional to 11,762.76, 16,209.17 and 8,396.10 is: 11,569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.76 : 16,209.17 = 8,396.10 : x
  2. Step 2: Convert to fraction form
    11,762.76/16,209.17 = 8,396.10/x
  3. Step 3: Cross multiply
    11,762.76x = 16,209.17 × 8,396.10
  4. Step 4: Simplify right side
    11,762.76x = 136,093,770.26
  5. Step 5: Solve for x
    x = 136,093,770.26/11,762.76
  6. Step 6: Final answer
    x = 11,569.88

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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.