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Finding the Fourth Proportional to 10,406.88, 15,616.80 and 3,486.24

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Solution

The fourth proportional to 10,406.88, 15,616.80 and 3,486.24 is: 5,231.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.88 : 15,616.80 = 3,486.24 : x
  2. Step 2: Convert to fraction form
    10,406.88/15,616.80 = 3,486.24/x
  3. Step 3: Cross multiply
    10,406.88x = 15,616.80 × 3,486.24
  4. Step 4: Simplify right side
    10,406.88x = 54,443,912.83
  5. Step 5: Solve for x
    x = 54,443,912.83/10,406.88
  6. Step 6: Final answer
    x = 5,231.53

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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.