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Finding the Fourth Proportional to 10,287.98, 14,196.72 and 5,811.92

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Solution

The fourth proportional to 10,287.98, 14,196.72 and 5,811.92 is: 8,020.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.98 : 14,196.72 = 5,811.92 : x
  2. Step 2: Convert to fraction form
    10,287.98/14,196.72 = 5,811.92/x
  3. Step 3: Cross multiply
    10,287.98x = 14,196.72 × 5,811.92
  4. Step 4: Simplify right side
    10,287.98x = 82,510,200.90
  5. Step 5: Solve for x
    x = 82,510,200.90/10,287.98
  6. Step 6: Final answer
    x = 8,020.06

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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.