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Finding the Fourth Proportional to 8,771.92, 12,113.48 and 5,633.60

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Solution

The fourth proportional to 8,771.92, 12,113.48 and 5,633.60 is: 7,779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.92 : 12,113.48 = 5,633.60 : x
  2. Step 2: Convert to fraction form
    8,771.92/12,113.48 = 5,633.60/x
  3. Step 3: Cross multiply
    8,771.92x = 12,113.48 × 5,633.60
  4. Step 4: Simplify right side
    8,771.92x = 68,242,500.93
  5. Step 5: Solve for x
    x = 68,242,500.93/8,771.92
  6. Step 6: Final answer
    x = 7,779.65

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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.