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Finding the Fourth Proportional to 10,294.02, 15,441.03 and 7,229.70

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Solution

The fourth proportional to 10,294.02, 15,441.03 and 7,229.70 is: 10,844.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.02 : 15,441.03 = 7,229.70 : x
  2. Step 2: Convert to fraction form
    10,294.02/15,441.03 = 7,229.70/x
  3. Step 3: Cross multiply
    10,294.02x = 15,441.03 × 7,229.70
  4. Step 4: Simplify right side
    10,294.02x = 111,634,014.59
  5. Step 5: Solve for x
    x = 111,634,014.59/10,294.02
  6. Step 6: Final answer
    x = 10,844.55

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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.