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Finding the Fourth Proportional to 6,820.54, 10,230.51 and 2,140.44

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Solution

The fourth proportional to 6,820.54, 10,230.51 and 2,140.44 is: 3,210.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.54 : 10,230.51 = 2,140.44 : x
  2. Step 2: Convert to fraction form
    6,820.54/10,230.51 = 2,140.44/x
  3. Step 3: Cross multiply
    6,820.54x = 10,230.51 × 2,140.44
  4. Step 4: Simplify right side
    6,820.54x = 21,897,792.82
  5. Step 5: Solve for x
    x = 21,897,792.82/6,820.54
  6. Step 6: Final answer
    x = 3,210.57

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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.