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Finding the Fourth Proportional to 8,922.96, 13,369.86 and 8,581.68

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Solution

The fourth proportional to 8,922.96, 13,369.86 and 8,581.68 is: 12,858.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922.96 : 13,369.86 = 8,581.68 : x
  2. Step 2: Convert to fraction form
    8,922.96/13,369.86 = 8,581.68/x
  3. Step 3: Cross multiply
    8,922.96x = 13,369.86 × 8,581.68
  4. Step 4: Simplify right side
    8,922.96x = 114,735,860.16
  5. Step 5: Solve for x
    x = 114,735,860.16/8,922.96
  6. Step 6: Final answer
    x = 12,858.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.