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Finding the Fourth Proportional to 6,896.89, 10,339.06 and 2,513.35

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Solution

The fourth proportional to 6,896.89, 10,339.06 and 2,513.35 is: 3,767.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.89 : 10,339.06 = 2,513.35 : x
  2. Step 2: Convert to fraction form
    6,896.89/10,339.06 = 2,513.35/x
  3. Step 3: Cross multiply
    6,896.89x = 10,339.06 × 2,513.35
  4. Step 4: Simplify right side
    6,896.89x = 25,985,612.19
  5. Step 5: Solve for x
    x = 25,985,612.19/6,896.89
  6. Step 6: Final answer
    x = 3,767.73

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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.