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Finding the Fourth Proportional to 10,287.36, 14,196.06 and 5,811.03

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Solution

The fourth proportional to 10,287.36, 14,196.06 and 5,811.03 is: 8,018.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.36 : 14,196.06 = 5,811.03 : x
  2. Step 2: Convert to fraction form
    10,287.36/14,196.06 = 5,811.03/x
  3. Step 3: Cross multiply
    10,287.36x = 14,196.06 × 5,811.03
  4. Step 4: Simplify right side
    10,287.36x = 82,493,730.54
  5. Step 5: Solve for x
    x = 82,493,730.54/10,287.36
  6. Step 6: Final answer
    x = 8,018.94

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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.