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Finding the Fourth Proportional to 8,423.82, 11,624.99 and 4,647.15

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Solution

The fourth proportional to 8,423.82, 11,624.99 and 4,647.15 is: 6,413.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423.82 : 11,624.99 = 4,647.15 : x
  2. Step 2: Convert to fraction form
    8,423.82/11,624.99 = 4,647.15/x
  3. Step 3: Cross multiply
    8,423.82x = 11,624.99 × 4,647.15
  4. Step 4: Simplify right side
    8,423.82x = 54,023,049.04
  5. Step 5: Solve for x
    x = 54,023,049.04/8,423.82
  6. Step 6: Final answer
    x = 6,413.13

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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.