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Finding the Fourth Proportional to 11,893.92, 16,406.18 and 7,650.51

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Solution

The fourth proportional to 11,893.92, 16,406.18 and 7,650.51 is: 10,552.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.92 : 16,406.18 = 7,650.51 : x
  2. Step 2: Convert to fraction form
    11,893.92/16,406.18 = 7,650.51/x
  3. Step 3: Cross multiply
    11,893.92x = 16,406.18 × 7,650.51
  4. Step 4: Simplify right side
    11,893.92x = 125,515,605.90
  5. Step 5: Solve for x
    x = 125,515,605.90/11,893.92
  6. Step 6: Final answer
    x = 10,552.92

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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.