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Finding the Fourth Proportional to 7,108, 9,809.04 and 3,964.12

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Solution

The fourth proportional to 7,108, 9,809.04 and 3,964.12 is: 5,470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108 : 9,809.04 = 3,964.12 : x
  2. Step 2: Convert to fraction form
    7,108/9,809.04 = 3,964.12/x
  3. Step 3: Cross multiply
    7,108x = 9,809.04 × 3,964.12
  4. Step 4: Simplify right side
    7,108x = 38,884,211.64
  5. Step 5: Solve for x
    x = 38,884,211.64/7,108
  6. Step 6: Final answer
    x = 5,470.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.