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Finding the Fourth Proportional to 6,914.56, 10,365.62 and 2,531

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Solution

The fourth proportional to 6,914.56, 10,365.62 and 2,531 is: 3,794.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.56 : 10,365.62 = 2,531 : x
  2. Step 2: Convert to fraction form
    6,914.56/10,365.62 = 2,531/x
  3. Step 3: Cross multiply
    6,914.56x = 10,365.62 × 2,531
  4. Step 4: Simplify right side
    6,914.56x = 26,235,384.22
  5. Step 5: Solve for x
    x = 26,235,384.22/6,914.56
  6. Step 6: Final answer
    x = 3,794.22

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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.