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Finding the Fourth Proportional to 6,912.75, 10,370.64 and 2,530.10

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Solution

The fourth proportional to 6,912.75, 10,370.64 and 2,530.10 is: 3,795.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.75 : 10,370.64 = 2,530.10 : x
  2. Step 2: Convert to fraction form
    6,912.75/10,370.64 = 2,530.10/x
  3. Step 3: Cross multiply
    6,912.75x = 10,370.64 × 2,530.10
  4. Step 4: Simplify right side
    6,912.75x = 26,238,756.26
  5. Step 5: Solve for x
    x = 26,238,756.26/6,912.75
  6. Step 6: Final answer
    x = 3,795.70

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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.