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Finding the Fourth Proportional to 6,803.81, 10,208.28 and 4,633.01

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Solution

The fourth proportional to 6,803.81, 10,208.28 and 4,633.01 is: 6,951.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.81 : 10,208.28 = 4,633.01 : x
  2. Step 2: Convert to fraction form
    6,803.81/10,208.28 = 4,633.01/x
  3. Step 3: Cross multiply
    6,803.81x = 10,208.28 × 4,633.01
  4. Step 4: Simplify right side
    6,803.81x = 47,295,063.32
  5. Step 5: Solve for x
    x = 47,295,063.32/6,803.81
  6. Step 6: Final answer
    x = 6,951.26

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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.