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Finding the Fourth Proportional to 10,287.12, 14,195.16 and 5,811.36

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Solution

The fourth proportional to 10,287.12, 14,195.16 and 5,811.36 is: 8,019.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.12 : 14,195.16 = 5,811.36 : x
  2. Step 2: Convert to fraction form
    10,287.12/14,195.16 = 5,811.36/x
  3. Step 3: Cross multiply
    10,287.12x = 14,195.16 × 5,811.36
  4. Step 4: Simplify right side
    10,287.12x = 82,493,185.02
  5. Step 5: Solve for x
    x = 82,493,185.02/10,287.12
  6. Step 6: Final answer
    x = 8,019.07

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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.