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Finding the Fourth Proportional to 8,382.98, 12,559.94 and 5,089.12

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Solution

The fourth proportional to 8,382.98, 12,559.94 and 5,089.12 is: 7,624.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.98 : 12,559.94 = 5,089.12 : x
  2. Step 2: Convert to fraction form
    8,382.98/12,559.94 = 5,089.12/x
  3. Step 3: Cross multiply
    8,382.98x = 12,559.94 × 5,089.12
  4. Step 4: Simplify right side
    8,382.98x = 63,919,041.85
  5. Step 5: Solve for x
    x = 63,919,041.85/8,382.98
  6. Step 6: Final answer
    x = 7,624.86

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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.