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Finding the Fourth Proportional to 7,961.72, 10,986.12 and 4,604

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Solution

The fourth proportional to 7,961.72, 10,986.12 and 4,604 is: 6,352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,961.72 : 10,986.12 = 4,604 : x
  2. Step 2: Convert to fraction form
    7,961.72/10,986.12 = 4,604/x
  3. Step 3: Cross multiply
    7,961.72x = 10,986.12 × 4,604
  4. Step 4: Simplify right side
    7,961.72x = 50,580,096.48
  5. Step 5: Solve for x
    x = 50,580,096.48/7,961.72
  6. Step 6: Final answer
    x = 6,352.91

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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.