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Finding the Fourth Proportional to 10,296.99, 15,446.10 and 2,902.02

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Solution

The fourth proportional to 10,296.99, 15,446.10 and 2,902.02 is: 4,353.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.99 : 15,446.10 = 2,902.02 : x
  2. Step 2: Convert to fraction form
    10,296.99/15,446.10 = 2,902.02/x
  3. Step 3: Cross multiply
    10,296.99x = 15,446.10 × 2,902.02
  4. Step 4: Simplify right side
    10,296.99x = 44,824,891.12
  5. Step 5: Solve for x
    x = 44,824,891.12/10,296.99
  6. Step 6: Final answer
    x = 4,353.20

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Why These Related Problems?

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