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Finding the Fourth Proportional to 11,630.27, 16,050.11 and 7,156.64

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Solution

The fourth proportional to 11,630.27, 16,050.11 and 7,156.64 is: 9,876.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.27 : 16,050.11 = 7,156.64 : x
  2. Step 2: Convert to fraction form
    11,630.27/16,050.11 = 7,156.64/x
  3. Step 3: Cross multiply
    11,630.27x = 16,050.11 × 7,156.64
  4. Step 4: Simplify right side
    11,630.27x = 114,864,859.23
  5. Step 5: Solve for x
    x = 114,864,859.23/11,630.27
  6. Step 6: Final answer
    x = 9,876.37

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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.