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Finding the Fourth Proportional to 6,896.36, 10,335.30 and 2,509.67

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Solution

The fourth proportional to 6,896.36, 10,335.30 and 2,509.67 is: 3,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.36 : 10,335.30 = 2,509.67 : x
  2. Step 2: Convert to fraction form
    6,896.36/10,335.30 = 2,509.67/x
  3. Step 3: Cross multiply
    6,896.36x = 10,335.30 × 2,509.67
  4. Step 4: Simplify right side
    6,896.36x = 25,938,140.67
  5. Step 5: Solve for x
    x = 25,938,140.67/6,896.36
  6. Step 6: Final answer
    x = 3,761.14

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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.