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Finding the Fourth Proportional to 10,954.96, 16,434.24 and 3,557.86

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Solution

The fourth proportional to 10,954.96, 16,434.24 and 3,557.86 is: 5,337.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.96 : 16,434.24 = 3,557.86 : x
  2. Step 2: Convert to fraction form
    10,954.96/16,434.24 = 3,557.86/x
  3. Step 3: Cross multiply
    10,954.96x = 16,434.24 × 3,557.86
  4. Step 4: Simplify right side
    10,954.96x = 58,470,725.13
  5. Step 5: Solve for x
    x = 58,470,725.13/10,954.96
  6. Step 6: Final answer
    x = 5,337.37

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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.