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Finding the Fourth Proportional to 6,086.43, 9,165.29 and 5,315.51

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Solution

The fourth proportional to 6,086.43, 9,165.29 and 5,315.51 is: 8,004.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.43 : 9,165.29 = 5,315.51 : x
  2. Step 2: Convert to fraction form
    6,086.43/9,165.29 = 5,315.51/x
  3. Step 3: Cross multiply
    6,086.43x = 9,165.29 × 5,315.51
  4. Step 4: Simplify right side
    6,086.43x = 48,718,118.24
  5. Step 5: Solve for x
    x = 48,718,118.24/6,086.43
  6. Step 6: Final answer
    x = 8,004.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.