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Finding the Fourth Proportional to 11,894.30, 16,406.69 and 7,650.89

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Solution

The fourth proportional to 11,894.30, 16,406.69 and 7,650.89 is: 10,553.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.30 : 16,406.69 = 7,650.89 : x
  2. Step 2: Convert to fraction form
    11,894.30/16,406.69 = 7,650.89/x
  3. Step 3: Cross multiply
    11,894.30x = 16,406.69 × 7,650.89
  4. Step 4: Simplify right side
    11,894.30x = 125,525,717.55
  5. Step 5: Solve for x
    x = 125,525,717.55/11,894.30
  6. Step 6: Final answer
    x = 10,553.44

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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.