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Finding the Fourth Proportional to 7,905.98, 11,833.23 and 5,825.15

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Solution

The fourth proportional to 7,905.98, 11,833.23 and 5,825.15 is: 8,718.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,905.98 : 11,833.23 = 5,825.15 : x
  2. Step 2: Convert to fraction form
    7,905.98/11,833.23 = 5,825.15/x
  3. Step 3: Cross multiply
    7,905.98x = 11,833.23 × 5,825.15
  4. Step 4: Simplify right side
    7,905.98x = 68,930,339.73
  5. Step 5: Solve for x
    x = 68,930,339.73/7,905.98
  6. Step 6: Final answer
    x = 8,718.76

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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.