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Finding the Fourth Proportional to 7,667.87, 11,499.52 and 3,284.30

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Solution

The fourth proportional to 7,667.87, 11,499.52 and 3,284.30 is: 4,925.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.87 : 11,499.52 = 3,284.30 : x
  2. Step 2: Convert to fraction form
    7,667.87/11,499.52 = 3,284.30/x
  3. Step 3: Cross multiply
    7,667.87x = 11,499.52 × 3,284.30
  4. Step 4: Simplify right side
    7,667.87x = 37,767,835.55
  5. Step 5: Solve for x
    x = 37,767,835.55/7,667.87
  6. Step 6: Final answer
    x = 4,925.47

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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.