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Finding the Fourth Proportional to 8,157.77, 12,229.59 and 4,863.94

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Solution

The fourth proportional to 8,157.77, 12,229.59 and 4,863.94 is: 7,291.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.77 : 12,229.59 = 4,863.94 : x
  2. Step 2: Convert to fraction form
    8,157.77/12,229.59 = 4,863.94/x
  3. Step 3: Cross multiply
    8,157.77x = 12,229.59 × 4,863.94
  4. Step 4: Simplify right side
    8,157.77x = 59,484,021.08
  5. Step 5: Solve for x
    x = 59,484,021.08/8,157.77
  6. Step 6: Final answer
    x = 7,291.70

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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.