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Finding the Fourth Proportional to 7,640.79, 10,543.38 and 4,283.40

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Solution

The fourth proportional to 7,640.79, 10,543.38 and 4,283.40 is: 5,910.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.79 : 10,543.38 = 4,283.40 : x
  2. Step 2: Convert to fraction form
    7,640.79/10,543.38 = 4,283.40/x
  3. Step 3: Cross multiply
    7,640.79x = 10,543.38 × 4,283.40
  4. Step 4: Simplify right side
    7,640.79x = 45,161,513.89
  5. Step 5: Solve for x
    x = 45,161,513.89/7,640.79
  6. Step 6: Final answer
    x = 5,910.58

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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.