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Finding the Fourth Proportional to 10,438.71, 15,664.14 and 3,869.48

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Solution

The fourth proportional to 10,438.71, 15,664.14 and 3,869.48 is: 5,806.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.71 : 15,664.14 = 3,869.48 : x
  2. Step 2: Convert to fraction form
    10,438.71/15,664.14 = 3,869.48/x
  3. Step 3: Cross multiply
    10,438.71x = 15,664.14 × 3,869.48
  4. Step 4: Simplify right side
    10,438.71x = 60,611,998.13
  5. Step 5: Solve for x
    x = 60,611,998.13/10,438.71
  6. Step 6: Final answer
    x = 5,806.46

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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.