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Finding the Fourth Proportional to 7,889.02, 11,830.11 and 4,190.44

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Solution

The fourth proportional to 7,889.02, 11,830.11 and 4,190.44 is: 6,283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.02 : 11,830.11 = 4,190.44 : x
  2. Step 2: Convert to fraction form
    7,889.02/11,830.11 = 4,190.44/x
  3. Step 3: Cross multiply
    7,889.02x = 11,830.11 × 4,190.44
  4. Step 4: Simplify right side
    7,889.02x = 49,573,366.15
  5. Step 5: Solve for x
    x = 49,573,366.15/7,889.02
  6. Step 6: Final answer
    x = 6,283.84

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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.