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Finding the Fourth Proportional to 10,811.32, 16,167.57 and 7,859.68

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Solution

The fourth proportional to 10,811.32, 16,167.57 and 7,859.68 is: 11,753.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.32 : 16,167.57 = 7,859.68 : x
  2. Step 2: Convert to fraction form
    10,811.32/16,167.57 = 7,859.68/x
  3. Step 3: Cross multiply
    10,811.32x = 16,167.57 × 7,859.68
  4. Step 4: Simplify right side
    10,811.32x = 127,071,926.58
  5. Step 5: Solve for x
    x = 127,071,926.58/10,811.32
  6. Step 6: Final answer
    x = 11,753.60

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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.