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Finding the Fourth Proportional to 6,884, 10,326.76 and 2,500.48

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Solution

The fourth proportional to 6,884, 10,326.76 and 2,500.48 is: 3,751.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884 : 10,326.76 = 2,500.48 : x
  2. Step 2: Convert to fraction form
    6,884/10,326.76 = 2,500.48/x
  3. Step 3: Cross multiply
    6,884x = 10,326.76 × 2,500.48
  4. Step 4: Simplify right side
    6,884x = 25,821,856.84
  5. Step 5: Solve for x
    x = 25,821,856.84/6,884
  6. Step 6: Final answer
    x = 3,751.00

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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.