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Finding the Fourth Proportional to 6,888.25, 10,332.38 and 2,271.25

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Solution

The fourth proportional to 6,888.25, 10,332.38 and 2,271.25 is: 3,406.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,888.25 : 10,332.38 = 2,271.25 : x
  2. Step 2: Convert to fraction form
    6,888.25/10,332.38 = 2,271.25/x
  3. Step 3: Cross multiply
    6,888.25x = 10,332.38 × 2,271.25
  4. Step 4: Simplify right side
    6,888.25x = 23,467,418.08
  5. Step 5: Solve for x
    x = 23,467,418.08/6,888.25
  6. Step 6: Final answer
    x = 3,406.88

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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.