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Finding the Fourth Proportional to 7,201.86, 10,802.43 and 2,820.12

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Solution

The fourth proportional to 7,201.86, 10,802.43 and 2,820.12 is: 4,230.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.86 : 10,802.43 = 2,820.12 : x
  2. Step 2: Convert to fraction form
    7,201.86/10,802.43 = 2,820.12/x
  3. Step 3: Cross multiply
    7,201.86x = 10,802.43 × 2,820.12
  4. Step 4: Simplify right side
    7,201.86x = 30,464,148.89
  5. Step 5: Solve for x
    x = 30,464,148.89/7,201.86
  6. Step 6: Final answer
    x = 4,230.04

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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.