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Finding the Fourth Proportional to 7,617.69, 10,501.38 and 5,846.22

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Solution

The fourth proportional to 7,617.69, 10,501.38 and 5,846.22 is: 8,059.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.69 : 10,501.38 = 5,846.22 : x
  2. Step 2: Convert to fraction form
    7,617.69/10,501.38 = 5,846.22/x
  3. Step 3: Cross multiply
    7,617.69x = 10,501.38 × 5,846.22
  4. Step 4: Simplify right side
    7,617.69x = 61,393,377.78
  5. Step 5: Solve for x
    x = 61,393,377.78/7,617.69
  6. Step 6: Final answer
    x = 8,059.32

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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.