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Finding the Fourth Proportional to 10,287.92, 14,196.64 and 5,811.84

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Solution

The fourth proportional to 10,287.92, 14,196.64 and 5,811.84 is: 8,019.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.92 : 14,196.64 = 5,811.84 : x
  2. Step 2: Convert to fraction form
    10,287.92/14,196.64 = 5,811.84/x
  3. Step 3: Cross multiply
    10,287.92x = 14,196.64 × 5,811.84
  4. Step 4: Simplify right side
    10,287.92x = 82,508,600.22
  5. Step 5: Solve for x
    x = 82,508,600.22/10,287.92
  6. Step 6: Final answer
    x = 8,019.95

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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.