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Finding the Fourth Proportional to 7,234.34, 10,851.60 and 2,551.06

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Solution

The fourth proportional to 7,234.34, 10,851.60 and 2,551.06 is: 3,826.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.34 : 10,851.60 = 2,551.06 : x
  2. Step 2: Convert to fraction form
    7,234.34/10,851.60 = 2,551.06/x
  3. Step 3: Cross multiply
    7,234.34x = 10,851.60 × 2,551.06
  4. Step 4: Simplify right side
    7,234.34x = 27,683,114.22
  5. Step 5: Solve for x
    x = 27,683,114.22/7,234.34
  6. Step 6: Final answer
    x = 3,826.63

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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.