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Finding the Fourth Proportional to 7,667.61, 11,504.64 and 3,287.13

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Solution

The fourth proportional to 7,667.61, 11,504.64 and 3,287.13 is: 4,932.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.61 : 11,504.64 = 3,287.13 : x
  2. Step 2: Convert to fraction form
    7,667.61/11,504.64 = 3,287.13/x
  3. Step 3: Cross multiply
    7,667.61x = 11,504.64 × 3,287.13
  4. Step 4: Simplify right side
    7,667.61x = 37,817,247.28
  5. Step 5: Solve for x
    x = 37,817,247.28/7,667.61
  6. Step 6: Final answer
    x = 4,932.08

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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.