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Finding the Fourth Proportional to 7,066.40, 10,604.40 and 4,141.60

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Solution

The fourth proportional to 7,066.40, 10,604.40 and 4,141.60 is: 6,215.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.40 : 10,604.40 = 4,141.60 : x
  2. Step 2: Convert to fraction form
    7,066.40/10,604.40 = 4,141.60/x
  3. Step 3: Cross multiply
    7,066.40x = 10,604.40 × 4,141.60
  4. Step 4: Simplify right side
    7,066.40x = 43,919,183.04
  5. Step 5: Solve for x
    x = 43,919,183.04/7,066.40
  6. Step 6: Final answer
    x = 6,215.21

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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.