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Finding the Fourth Proportional to 7,884.72, 11,820.67 and 2,951.60

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Solution

The fourth proportional to 7,884.72, 11,820.67 and 2,951.60 is: 4,424.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.72 : 11,820.67 = 2,951.60 : x
  2. Step 2: Convert to fraction form
    7,884.72/11,820.67 = 2,951.60/x
  3. Step 3: Cross multiply
    7,884.72x = 11,820.67 × 2,951.60
  4. Step 4: Simplify right side
    7,884.72x = 34,889,815.71
  5. Step 5: Solve for x
    x = 34,889,815.71/7,884.72
  6. Step 6: Final answer
    x = 4,424.99

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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.