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Finding the Fourth Proportional to 7,849.93, 11,761.06 and 4,144.00

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Solution

The fourth proportional to 7,849.93, 11,761.06 and 4,144.00 is: 6,208.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.93 : 11,761.06 = 4,144.00 : x
  2. Step 2: Convert to fraction form
    7,849.93/11,761.06 = 4,144.00/x
  3. Step 3: Cross multiply
    7,849.93x = 11,761.06 × 4,144.00
  4. Step 4: Simplify right side
    7,849.93x = 48,737,753.11
  5. Step 5: Solve for x
    x = 48,737,753.11/7,849.93
  6. Step 6: Final answer
    x = 6,208.69

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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.