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Finding the Fourth Proportional to 10,288.86, 14,197.79 and 5,813

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Solution

The fourth proportional to 10,288.86, 14,197.79 and 5,813 is: 8,021.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.86 : 14,197.79 = 5,813 : x
  2. Step 2: Convert to fraction form
    10,288.86/14,197.79 = 5,813/x
  3. Step 3: Cross multiply
    10,288.86x = 14,197.79 × 5,813
  4. Step 4: Simplify right side
    10,288.86x = 82,531,724.21
  5. Step 5: Solve for x
    x = 82,531,724.21/10,288.86
  6. Step 6: Final answer
    x = 8,021.46

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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.