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Finding the Fourth Proportional to 7,391.76, 10,196.66 and 4,998.60

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Solution

The fourth proportional to 7,391.76, 10,196.66 and 4,998.60 is: 6,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391.76 : 10,196.66 = 4,998.60 : x
  2. Step 2: Convert to fraction form
    7,391.76/10,196.66 = 4,998.60/x
  3. Step 3: Cross multiply
    7,391.76x = 10,196.66 × 4,998.60
  4. Step 4: Simplify right side
    7,391.76x = 50,969,024.68
  5. Step 5: Solve for x
    x = 50,969,024.68/7,391.76
  6. Step 6: Final answer
    x = 6,895.38

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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.