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Finding the Fourth Proportional to 6,802.99, 10,206.69 and 3,337.81

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Solution

The fourth proportional to 6,802.99, 10,206.69 and 3,337.81 is: 5,007.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.99 : 10,206.69 = 3,337.81 : x
  2. Step 2: Convert to fraction form
    6,802.99/10,206.69 = 3,337.81/x
  3. Step 3: Cross multiply
    6,802.99x = 10,206.69 × 3,337.81
  4. Step 4: Simplify right side
    6,802.99x = 34,068,025.81
  5. Step 5: Solve for x
    x = 34,068,025.81/6,802.99
  6. Step 6: Final answer
    x = 5,007.80

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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.