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Finding the Fourth Proportional to 5,247.05, 7,872.66 and 5,164.11

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Solution

The fourth proportional to 5,247.05, 7,872.66 and 5,164.11 is: 7,748.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.05 : 7,872.66 = 5,164.11 : x
  2. Step 2: Convert to fraction form
    5,247.05/7,872.66 = 5,164.11/x
  3. Step 3: Cross multiply
    5,247.05x = 7,872.66 × 5,164.11
  4. Step 4: Simplify right side
    5,247.05x = 40,655,282.23
  5. Step 5: Solve for x
    x = 40,655,282.23/5,247.05
  6. Step 6: Final answer
    x = 7,748.22

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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.