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Finding the Fourth Proportional to 8,527.36, 12,793.60 and 5,403.84

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Solution

The fourth proportional to 8,527.36, 12,793.60 and 5,403.84 is: 8,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.36 : 12,793.60 = 5,403.84 : x
  2. Step 2: Convert to fraction form
    8,527.36/12,793.60 = 5,403.84/x
  3. Step 3: Cross multiply
    8,527.36x = 12,793.60 × 5,403.84
  4. Step 4: Simplify right side
    8,527.36x = 69,134,567.42
  5. Step 5: Solve for x
    x = 69,134,567.42/8,527.36
  6. Step 6: Final answer
    x = 8,107.38

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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.