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Finding the Fourth Proportional to 10,216.99, 14,099.52 and 5,740.75

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Solution

The fourth proportional to 10,216.99, 14,099.52 and 5,740.75 is: 7,922.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.99 : 14,099.52 = 5,740.75 : x
  2. Step 2: Convert to fraction form
    10,216.99/14,099.52 = 5,740.75/x
  3. Step 3: Cross multiply
    10,216.99x = 14,099.52 × 5,740.75
  4. Step 4: Simplify right side
    10,216.99x = 80,941,819.44
  5. Step 5: Solve for x
    x = 80,941,819.44/10,216.99
  6. Step 6: Final answer
    x = 7,922.28

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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.