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Finding the Fourth Proportional to 6,820.02, 10,230.02 and 1,889.68

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Solution

The fourth proportional to 6,820.02, 10,230.02 and 1,889.68 is: 2,834.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.02 : 10,230.02 = 1,889.68 : x
  2. Step 2: Convert to fraction form
    6,820.02/10,230.02 = 1,889.68/x
  3. Step 3: Cross multiply
    6,820.02x = 10,230.02 × 1,889.68
  4. Step 4: Simplify right side
    6,820.02x = 19,331,464.19
  5. Step 5: Solve for x
    x = 19,331,464.19/6,820.02
  6. Step 6: Final answer
    x = 2,834.52

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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.