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Finding the Fourth Proportional to 11,471.42, 15,824.73 and 7,494.86

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Solution

The fourth proportional to 11,471.42, 15,824.73 and 7,494.86 is: 10,339.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.42 : 15,824.73 = 7,494.86 : x
  2. Step 2: Convert to fraction form
    11,471.42/15,824.73 = 7,494.86/x
  3. Step 3: Cross multiply
    11,471.42x = 15,824.73 × 7,494.86
  4. Step 4: Simplify right side
    11,471.42x = 118,604,098.41
  5. Step 5: Solve for x
    x = 118,604,098.41/11,471.42
  6. Step 6: Final answer
    x = 10,339.09

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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.