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Finding the Fourth Proportional to 8,564.66, 12,847.84 and 2,324.77

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Solution

The fourth proportional to 8,564.66, 12,847.84 and 2,324.77 is: 3,487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.66 : 12,847.84 = 2,324.77 : x
  2. Step 2: Convert to fraction form
    8,564.66/12,847.84 = 2,324.77/x
  3. Step 3: Cross multiply
    8,564.66x = 12,847.84 × 2,324.77
  4. Step 4: Simplify right side
    8,564.66x = 29,868,235.07
  5. Step 5: Solve for x
    x = 29,868,235.07/8,564.66
  6. Step 6: Final answer
    x = 3,487.38

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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.