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Finding the Fourth Proportional to 7,667.66, 11,493.22 and 3,710.56

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Solution

The fourth proportional to 7,667.66, 11,493.22 and 3,710.56 is: 5,561.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.66 : 11,493.22 = 3,710.56 : x
  2. Step 2: Convert to fraction form
    7,667.66/11,493.22 = 3,710.56/x
  3. Step 3: Cross multiply
    7,667.66x = 11,493.22 × 3,710.56
  4. Step 4: Simplify right side
    7,667.66x = 42,646,282.40
  5. Step 5: Solve for x
    x = 42,646,282.40/7,667.66
  6. Step 6: Final answer
    x = 5,561.84

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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.