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Finding the Fourth Proportional to 7,652.85, 11,474.82 and 2,967.39

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Solution

The fourth proportional to 7,652.85, 11,474.82 and 2,967.39 is: 4,449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.85 : 11,474.82 = 2,967.39 : x
  2. Step 2: Convert to fraction form
    7,652.85/11,474.82 = 2,967.39/x
  3. Step 3: Cross multiply
    7,652.85x = 11,474.82 × 2,967.39
  4. Step 4: Simplify right side
    7,652.85x = 34,050,230.01
  5. Step 5: Solve for x
    x = 34,050,230.01/7,652.85
  6. Step 6: Final answer
    x = 4,449.35

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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.