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Finding the Fourth Proportional to 8,314.98, 11,469.57 and 5,482.62

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Solution

The fourth proportional to 8,314.98, 11,469.57 and 5,482.62 is: 7,562.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.98 : 11,469.57 = 5,482.62 : x
  2. Step 2: Convert to fraction form
    8,314.98/11,469.57 = 5,482.62/x
  3. Step 3: Cross multiply
    8,314.98x = 11,469.57 × 5,482.62
  4. Step 4: Simplify right side
    8,314.98x = 62,883,293.87
  5. Step 5: Solve for x
    x = 62,883,293.87/8,314.98
  6. Step 6: Final answer
    x = 7,562.65

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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.