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Finding the Fourth Proportional to 6,802.81, 10,206.78 and 4,632.01

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Solution

The fourth proportional to 6,802.81, 10,206.78 and 4,632.01 is: 6,949.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.81 : 10,206.78 = 4,632.01 : x
  2. Step 2: Convert to fraction form
    6,802.81/10,206.78 = 4,632.01/x
  3. Step 3: Cross multiply
    6,802.81x = 10,206.78 × 4,632.01
  4. Step 4: Simplify right side
    6,802.81x = 47,277,907.03
  5. Step 5: Solve for x
    x = 47,277,907.03/6,802.81
  6. Step 6: Final answer
    x = 6,949.76

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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.