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Finding the Fourth Proportional to 7,884.52, 11,830.40 and 2,954.56

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Solution

The fourth proportional to 7,884.52, 11,830.40 and 2,954.56 is: 4,433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.52 : 11,830.40 = 2,954.56 : x
  2. Step 2: Convert to fraction form
    7,884.52/11,830.40 = 2,954.56/x
  3. Step 3: Cross multiply
    7,884.52x = 11,830.40 × 2,954.56
  4. Step 4: Simplify right side
    7,884.52x = 34,953,626.62
  5. Step 5: Solve for x
    x = 34,953,626.62/7,884.52
  6. Step 6: Final answer
    x = 4,433.20

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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.