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Finding the Fourth Proportional to 6,296.82, 8,690.87 and 4,802.07

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Solution

The fourth proportional to 6,296.82, 8,690.87 and 4,802.07 is: 6,627.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.82 : 8,690.87 = 4,802.07 : x
  2. Step 2: Convert to fraction form
    6,296.82/8,690.87 = 4,802.07/x
  3. Step 3: Cross multiply
    6,296.82x = 8,690.87 × 4,802.07
  4. Step 4: Simplify right side
    6,296.82x = 41,734,166.10
  5. Step 5: Solve for x
    x = 41,734,166.10/6,296.82
  6. Step 6: Final answer
    x = 6,627.82

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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.