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Finding the Fourth Proportional to 7,667.99, 11,506.45 and 3,225.33

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Solution

The fourth proportional to 7,667.99, 11,506.45 and 3,225.33 is: 4,839.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.99 : 11,506.45 = 3,225.33 : x
  2. Step 2: Convert to fraction form
    7,667.99/11,506.45 = 3,225.33/x
  3. Step 3: Cross multiply
    7,667.99x = 11,506.45 × 3,225.33
  4. Step 4: Simplify right side
    7,667.99x = 37,112,098.38
  5. Step 5: Solve for x
    x = 37,112,098.38/7,667.99
  6. Step 6: Final answer
    x = 4,839.87

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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.