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Finding the Fourth Proportional to 7,207.66, 10,813.11 and 5,215.87

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Solution

The fourth proportional to 7,207.66, 10,813.11 and 5,215.87 is: 7,824.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207.66 : 10,813.11 = 5,215.87 : x
  2. Step 2: Convert to fraction form
    7,207.66/10,813.11 = 5,215.87/x
  3. Step 3: Cross multiply
    7,207.66x = 10,813.11 × 5,215.87
  4. Step 4: Simplify right side
    7,207.66x = 56,399,776.06
  5. Step 5: Solve for x
    x = 56,399,776.06/7,207.66
  6. Step 6: Final answer
    x = 7,824.98

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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.