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Finding the Fourth Proportional to 6,959.16, 10,438.74 and 2,571.48

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Solution

The fourth proportional to 6,959.16, 10,438.74 and 2,571.48 is: 3,857.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.16 : 10,438.74 = 2,571.48 : x
  2. Step 2: Convert to fraction form
    6,959.16/10,438.74 = 2,571.48/x
  3. Step 3: Cross multiply
    6,959.16x = 10,438.74 × 2,571.48
  4. Step 4: Simplify right side
    6,959.16x = 26,843,011.14
  5. Step 5: Solve for x
    x = 26,843,011.14/6,959.16
  6. Step 6: Final answer
    x = 3,857.22

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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.