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Finding the Fourth Proportional to 6,165.41, 8,509.33 and 5,960.38

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Solution

The fourth proportional to 6,165.41, 8,509.33 and 5,960.38 is: 8,226.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.41 : 8,509.33 = 5,960.38 : x
  2. Step 2: Convert to fraction form
    6,165.41/8,509.33 = 5,960.38/x
  3. Step 3: Cross multiply
    6,165.41x = 8,509.33 × 5,960.38
  4. Step 4: Simplify right side
    6,165.41x = 50,718,768.00
  5. Step 5: Solve for x
    x = 50,718,768.00/6,165.41
  6. Step 6: Final answer
    x = 8,226.35

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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.