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Finding the Fourth Proportional to 10,231.68, 15,347.70 and 3,662.58

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Solution

The fourth proportional to 10,231.68, 15,347.70 and 3,662.58 is: 5,493.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.68 : 15,347.70 = 3,662.58 : x
  2. Step 2: Convert to fraction form
    10,231.68/15,347.70 = 3,662.58/x
  3. Step 3: Cross multiply
    10,231.68x = 15,347.70 × 3,662.58
  4. Step 4: Simplify right side
    10,231.68x = 56,212,179.07
  5. Step 5: Solve for x
    x = 56,212,179.07/10,231.68
  6. Step 6: Final answer
    x = 5,493.93

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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.