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Finding the Fourth Proportional to 11,294.96, 16,931.23 and 5,361.41

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Solution

The fourth proportional to 11,294.96, 16,931.23 and 5,361.41 is: 8,036.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.96 : 16,931.23 = 5,361.41 : x
  2. Step 2: Convert to fraction form
    11,294.96/16,931.23 = 5,361.41/x
  3. Step 3: Cross multiply
    11,294.96x = 16,931.23 × 5,361.41
  4. Step 4: Simplify right side
    11,294.96x = 90,775,294.76
  5. Step 5: Solve for x
    x = 90,775,294.76/11,294.96
  6. Step 6: Final answer
    x = 8,036.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.