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Finding the Fourth Proportional to 7,208.16, 10,808.16 and 2,276.88

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Solution

The fourth proportional to 7,208.16, 10,808.16 and 2,276.88 is: 3,414.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.16 : 10,808.16 = 2,276.88 : x
  2. Step 2: Convert to fraction form
    7,208.16/10,808.16 = 2,276.88/x
  3. Step 3: Cross multiply
    7,208.16x = 10,808.16 × 2,276.88
  4. Step 4: Simplify right side
    7,208.16x = 24,608,883.34
  5. Step 5: Solve for x
    x = 24,608,883.34/7,208.16
  6. Step 6: Final answer
    x = 3,414.03

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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.