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Finding the Fourth Proportional to 7,664.87, 11,501.74 and 3,222.19

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Solution

The fourth proportional to 7,664.87, 11,501.74 and 3,222.19 is: 4,835.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.87 : 11,501.74 = 3,222.19 : x
  2. Step 2: Convert to fraction form
    7,664.87/11,501.74 = 3,222.19/x
  3. Step 3: Cross multiply
    7,664.87x = 11,501.74 × 3,222.19
  4. Step 4: Simplify right side
    7,664.87x = 37,060,765.16
  5. Step 5: Solve for x
    x = 37,060,765.16/7,664.87
  6. Step 6: Final answer
    x = 4,835.14

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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.