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Finding the Fourth Proportional to 10,400.36, 15,601.02 and 2,609.24

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Solution

The fourth proportional to 10,400.36, 15,601.02 and 2,609.24 is: 3,913.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.36 : 15,601.02 = 2,609.24 : x
  2. Step 2: Convert to fraction form
    10,400.36/15,601.02 = 2,609.24/x
  3. Step 3: Cross multiply
    10,400.36x = 15,601.02 × 2,609.24
  4. Step 4: Simplify right side
    10,400.36x = 40,706,805.42
  5. Step 5: Solve for x
    x = 40,706,805.42/10,400.36
  6. Step 6: Final answer
    x = 3,913.98

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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.