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Finding the Fourth Proportional to 7,263, 10,896.12 and 2,646

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Solution

The fourth proportional to 7,263, 10,896.12 and 2,646 is: 3,969.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263 : 10,896.12 = 2,646 : x
  2. Step 2: Convert to fraction form
    7,263/10,896.12 = 2,646/x
  3. Step 3: Cross multiply
    7,263x = 10,896.12 × 2,646
  4. Step 4: Simplify right side
    7,263x = 28,831,133.52
  5. Step 5: Solve for x
    x = 28,831,133.52/7,263
  6. Step 6: Final answer
    x = 3,969.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.