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Finding the Fourth Proportional to 8,408.27, 11,590.96 and 5,382.95

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Solution

The fourth proportional to 8,408.27, 11,590.96 and 5,382.95 is: 7,420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.27 : 11,590.96 = 5,382.95 : x
  2. Step 2: Convert to fraction form
    8,408.27/11,590.96 = 5,382.95/x
  3. Step 3: Cross multiply
    8,408.27x = 11,590.96 × 5,382.95
  4. Step 4: Simplify right side
    8,408.27x = 62,393,500.18
  5. Step 5: Solve for x
    x = 62,393,500.18/8,408.27
  6. Step 6: Final answer
    x = 7,420.50

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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.