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Finding the Fourth Proportional to 6,911.80, 10,351.92 and 5,427.64

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Solution

The fourth proportional to 6,911.80, 10,351.92 and 5,427.64 is: 8,129.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.80 : 10,351.92 = 5,427.64 : x
  2. Step 2: Convert to fraction form
    6,911.80/10,351.92 = 5,427.64/x
  3. Step 3: Cross multiply
    6,911.80x = 10,351.92 × 5,427.64
  4. Step 4: Simplify right side
    6,911.80x = 56,186,495.07
  5. Step 5: Solve for x
    x = 56,186,495.07/6,911.80
  6. Step 6: Final answer
    x = 8,129.07

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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.