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Finding the Fourth Proportional to 6,802.44, 10,207.77 and 4,338.15

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Solution

The fourth proportional to 6,802.44, 10,207.77 and 4,338.15 is: 6,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.44 : 10,207.77 = 4,338.15 : x
  2. Step 2: Convert to fraction form
    6,802.44/10,207.77 = 4,338.15/x
  3. Step 3: Cross multiply
    6,802.44x = 10,207.77 × 4,338.15
  4. Step 4: Simplify right side
    6,802.44x = 44,282,837.43
  5. Step 5: Solve for x
    x = 44,282,837.43/6,802.44
  6. Step 6: Final answer
    x = 6,509.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.