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Finding the Fourth Proportional to 11,426.70, 15,773.20 and 7,448.78

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Solution

The fourth proportional to 11,426.70, 15,773.20 and 7,448.78 is: 10,282.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,426.70 : 15,773.20 = 7,448.78 : x
  2. Step 2: Convert to fraction form
    11,426.70/15,773.20 = 7,448.78/x
  3. Step 3: Cross multiply
    11,426.70x = 15,773.20 × 7,448.78
  4. Step 4: Simplify right side
    11,426.70x = 117,491,096.70
  5. Step 5: Solve for x
    x = 117,491,096.70/11,426.70
  6. Step 6: Final answer
    x = 10,282.15

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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.