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Finding the Fourth Proportional to 8,846.86, 12,205.63 and 5,488.47

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Solution

The fourth proportional to 8,846.86, 12,205.63 and 5,488.47 is: 7,572.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,846.86 : 12,205.63 = 5,488.47 : x
  2. Step 2: Convert to fraction form
    8,846.86/12,205.63 = 5,488.47/x
  3. Step 3: Cross multiply
    8,846.86x = 12,205.63 × 5,488.47
  4. Step 4: Simplify right side
    8,846.86x = 66,990,234.09
  5. Step 5: Solve for x
    x = 66,990,234.09/8,846.86
  6. Step 6: Final answer
    x = 7,572.20

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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.