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Finding the Fourth Proportional to 6,317.85, 8,721.43 and 4,080.81

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Solution

The fourth proportional to 6,317.85, 8,721.43 and 4,080.81 is: 5,633.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.85 : 8,721.43 = 4,080.81 : x
  2. Step 2: Convert to fraction form
    6,317.85/8,721.43 = 4,080.81/x
  3. Step 3: Cross multiply
    6,317.85x = 8,721.43 × 4,080.81
  4. Step 4: Simplify right side
    6,317.85x = 35,590,478.35
  5. Step 5: Solve for x
    x = 35,590,478.35/6,317.85
  6. Step 6: Final answer
    x = 5,633.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.