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Finding the Fourth Proportional to 7,667.54, 11,501.57 and 2,045.16

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Solution

The fourth proportional to 7,667.54, 11,501.57 and 2,045.16 is: 3,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.54 : 11,501.57 = 2,045.16 : x
  2. Step 2: Convert to fraction form
    7,667.54/11,501.57 = 2,045.16/x
  3. Step 3: Cross multiply
    7,667.54x = 11,501.57 × 2,045.16
  4. Step 4: Simplify right side
    7,667.54x = 23,522,517.91
  5. Step 5: Solve for x
    x = 23,522,517.91/7,667.54
  6. Step 6: Final answer
    x = 3,067.80

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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.