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Finding the Fourth Proportional to 8,055.47, 12,082.72 and 4,789.34

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Solution

The fourth proportional to 8,055.47, 12,082.72 and 4,789.34 is: 7,183.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,055.47 : 12,082.72 = 4,789.34 : x
  2. Step 2: Convert to fraction form
    8,055.47/12,082.72 = 4,789.34/x
  3. Step 3: Cross multiply
    8,055.47x = 12,082.72 × 4,789.34
  4. Step 4: Simplify right side
    8,055.47x = 57,868,304.07
  5. Step 5: Solve for x
    x = 57,868,304.07/8,055.47
  6. Step 6: Final answer
    x = 7,183.73

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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.