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Finding the Fourth Proportional to 8,709.24, 13,066.06 and 3,777.68

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Solution

The fourth proportional to 8,709.24, 13,066.06 and 3,777.68 is: 5,667.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.24 : 13,066.06 = 3,777.68 : x
  2. Step 2: Convert to fraction form
    8,709.24/13,066.06 = 3,777.68/x
  3. Step 3: Cross multiply
    8,709.24x = 13,066.06 × 3,777.68
  4. Step 4: Simplify right side
    8,709.24x = 49,359,393.54
  5. Step 5: Solve for x
    x = 49,359,393.54/8,709.24
  6. Step 6: Final answer
    x = 5,667.47

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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.