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Finding the Fourth Proportional to 7,667.96, 11,501.91 and 3,506.85

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Solution

The fourth proportional to 7,667.96, 11,501.91 and 3,506.85 is: 5,260.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.96 : 11,501.91 = 3,506.85 : x
  2. Step 2: Convert to fraction form
    7,667.96/11,501.91 = 3,506.85/x
  3. Step 3: Cross multiply
    7,667.96x = 11,501.91 × 3,506.85
  4. Step 4: Simplify right side
    7,667.96x = 40,335,473.08
  5. Step 5: Solve for x
    x = 40,335,473.08/7,667.96
  6. Step 6: Final answer
    x = 5,260.26

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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.