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Finding the Fourth Proportional to 10,912.74, 15,056.12 and 6,438.03

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Solution

The fourth proportional to 10,912.74, 15,056.12 and 6,438.03 is: 8,882.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,912.74 : 15,056.12 = 6,438.03 : x
  2. Step 2: Convert to fraction form
    10,912.74/15,056.12 = 6,438.03/x
  3. Step 3: Cross multiply
    10,912.74x = 15,056.12 × 6,438.03
  4. Step 4: Simplify right side
    10,912.74x = 96,931,720.05
  5. Step 5: Solve for x
    x = 96,931,720.05/10,912.74
  6. Step 6: Final answer
    x = 8,882.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.