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Finding the Fourth Proportional to 7,640.16, 11,462.66 and 2,446.03

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Solution

The fourth proportional to 7,640.16, 11,462.66 and 2,446.03 is: 3,669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.16 : 11,462.66 = 2,446.03 : x
  2. Step 2: Convert to fraction form
    7,640.16/11,462.66 = 2,446.03/x
  3. Step 3: Cross multiply
    7,640.16x = 11,462.66 × 2,446.03
  4. Step 4: Simplify right side
    7,640.16x = 28,038,035.27
  5. Step 5: Solve for x
    x = 28,038,035.27/7,640.16
  6. Step 6: Final answer
    x = 3,669.82

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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.