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Finding the Fourth Proportional to 7,164.05, 9,885.85 and 4,019.63

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Solution

The fourth proportional to 7,164.05, 9,885.85 and 4,019.63 is: 5,546.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.05 : 9,885.85 = 4,019.63 : x
  2. Step 2: Convert to fraction form
    7,164.05/9,885.85 = 4,019.63/x
  3. Step 3: Cross multiply
    7,164.05x = 9,885.85 × 4,019.63
  4. Step 4: Simplify right side
    7,164.05x = 39,737,399.76
  5. Step 5: Solve for x
    x = 39,737,399.76/7,164.05
  6. Step 6: Final answer
    x = 5,546.78

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