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Finding the Fourth Proportional to 7,208.46, 10,807.02 and 5,207.22

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Solution

The fourth proportional to 7,208.46, 10,807.02 and 5,207.22 is: 7,806.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.46 : 10,807.02 = 5,207.22 : x
  2. Step 2: Convert to fraction form
    7,208.46/10,807.02 = 5,207.22/x
  3. Step 3: Cross multiply
    7,208.46x = 10,807.02 × 5,207.22
  4. Step 4: Simplify right side
    7,208.46x = 56,274,530.68
  5. Step 5: Solve for x
    x = 56,274,530.68/7,208.46
  6. Step 6: Final answer
    x = 7,806.73

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