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Finding the Fourth Proportional to 7,661.16, 11,482.56 and 3,965.04

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Solution

The fourth proportional to 7,661.16, 11,482.56 and 3,965.04 is: 5,942.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.16 : 11,482.56 = 3,965.04 : x
  2. Step 2: Convert to fraction form
    7,661.16/11,482.56 = 3,965.04/x
  3. Step 3: Cross multiply
    7,661.16x = 11,482.56 × 3,965.04
  4. Step 4: Simplify right side
    7,661.16x = 45,528,809.70
  5. Step 5: Solve for x
    x = 45,528,809.70/7,661.16
  6. Step 6: Final answer
    x = 5,942.81

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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.