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Finding the Fourth Proportional to 10,950.02, 16,414.08 and 5,407.36

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Solution

The fourth proportional to 10,950.02, 16,414.08 and 5,407.36 is: 8,105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950.02 : 16,414.08 = 5,407.36 : x
  2. Step 2: Convert to fraction form
    10,950.02/16,414.08 = 5,407.36/x
  3. Step 3: Cross multiply
    10,950.02x = 16,414.08 × 5,407.36
  4. Step 4: Simplify right side
    10,950.02x = 88,756,778.32
  5. Step 5: Solve for x
    x = 88,756,778.32/10,950.02
  6. Step 6: Final answer
    x = 8,105.63

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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.