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Finding the Fourth Proportional to 7,820.85, 10,792.77 and 4,284.07

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Solution

The fourth proportional to 7,820.85, 10,792.77 and 4,284.07 is: 5,912.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.85 : 10,792.77 = 4,284.07 : x
  2. Step 2: Convert to fraction form
    7,820.85/10,792.77 = 4,284.07/x
  3. Step 3: Cross multiply
    7,820.85x = 10,792.77 × 4,284.07
  4. Step 4: Simplify right side
    7,820.85x = 46,236,982.17
  5. Step 5: Solve for x
    x = 46,236,982.17/7,820.85
  6. Step 6: Final answer
    x = 5,912.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.