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Finding the Fourth Proportional to 6,346.65, 8,755.23 and 4,110.45

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Solution

The fourth proportional to 6,346.65, 8,755.23 and 4,110.45 is: 5,670.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.65 : 8,755.23 = 4,110.45 : x
  2. Step 2: Convert to fraction form
    6,346.65/8,755.23 = 4,110.45/x
  3. Step 3: Cross multiply
    6,346.65x = 8,755.23 × 4,110.45
  4. Step 4: Simplify right side
    6,346.65x = 35,987,935.15
  5. Step 5: Solve for x
    x = 35,987,935.15/6,346.65
  6. Step 6: Final answer
    x = 5,670.38

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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.