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Finding the Fourth Proportional to 10,296.99, 15,439.95 and 3,275.10

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Solution

The fourth proportional to 10,296.99, 15,439.95 and 3,275.10 is: 4,910.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.99 : 15,439.95 = 3,275.10 : x
  2. Step 2: Convert to fraction form
    10,296.99/15,439.95 = 3,275.10/x
  3. Step 3: Cross multiply
    10,296.99x = 15,439.95 × 3,275.10
  4. Step 4: Simplify right side
    10,296.99x = 50,567,380.25
  5. Step 5: Solve for x
    x = 50,567,380.25/10,296.99
  6. Step 6: Final answer
    x = 4,910.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.