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Finding the Fourth Proportional to 6,914.62, 10,373.07 and 2,538.22

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Solution

The fourth proportional to 6,914.62, 10,373.07 and 2,538.22 is: 3,807.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.62 : 10,373.07 = 2,538.22 : x
  2. Step 2: Convert to fraction form
    6,914.62/10,373.07 = 2,538.22/x
  3. Step 3: Cross multiply
    6,914.62x = 10,373.07 × 2,538.22
  4. Step 4: Simplify right side
    6,914.62x = 26,329,133.74
  5. Step 5: Solve for x
    x = 26,329,133.74/6,914.62
  6. Step 6: Final answer
    x = 3,807.75

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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.