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Finding the Fourth Proportional to 7,640, 10,543.36 and 4,328

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Solution

The fourth proportional to 7,640, 10,543.36 and 4,328 is: 5,972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640 : 10,543.36 = 4,328 : x
  2. Step 2: Convert to fraction form
    7,640/10,543.36 = 4,328/x
  3. Step 3: Cross multiply
    7,640x = 10,543.36 × 4,328
  4. Step 4: Simplify right side
    7,640x = 45,631,662.08
  5. Step 5: Solve for x
    x = 45,631,662.08/7,640
  6. Step 6: Final answer
    x = 5,972.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.