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Finding the Fourth Proportional to 7,901.16, 11,843.23 and 4,199.66

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Solution

The fourth proportional to 7,901.16, 11,843.23 and 4,199.66 is: 6,294.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.16 : 11,843.23 = 4,199.66 : x
  2. Step 2: Convert to fraction form
    7,901.16/11,843.23 = 4,199.66/x
  3. Step 3: Cross multiply
    7,901.16x = 11,843.23 × 4,199.66
  4. Step 4: Simplify right side
    7,901.16x = 49,737,499.19
  5. Step 5: Solve for x
    x = 49,737,499.19/7,901.16
  6. Step 6: Final answer
    x = 6,294.97

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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.