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Finding the Fourth Proportional to 7,264.89, 10,942.11 and 6,751.53

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Solution

The fourth proportional to 7,264.89, 10,942.11 and 6,751.53 is: 10,168.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.89 : 10,942.11 = 6,751.53 : x
  2. Step 2: Convert to fraction form
    7,264.89/10,942.11 = 6,751.53/x
  3. Step 3: Cross multiply
    7,264.89x = 10,942.11 × 6,751.53
  4. Step 4: Simplify right side
    7,264.89x = 73,875,983.93
  5. Step 5: Solve for x
    x = 73,875,983.93/7,264.89
  6. Step 6: Final answer
    x = 10,168.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.