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Finding the Fourth Proportional to 7,361.65, 11,039.01 and 2,166.49

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Solution

The fourth proportional to 7,361.65, 11,039.01 and 2,166.49 is: 3,248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,361.65 : 11,039.01 = 2,166.49 : x
  2. Step 2: Convert to fraction form
    7,361.65/11,039.01 = 2,166.49/x
  3. Step 3: Cross multiply
    7,361.65x = 11,039.01 × 2,166.49
  4. Step 4: Simplify right side
    7,361.65x = 23,915,904.77
  5. Step 5: Solve for x
    x = 23,915,904.77/7,361.65
  6. Step 6: Final answer
    x = 3,248.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.