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Finding the Fourth Proportional to 7,820.32, 10,792.62 and 5,163.12

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Solution

The fourth proportional to 7,820.32, 10,792.62 and 5,163.12 is: 7,125.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.32 : 10,792.62 = 5,163.12 : x
  2. Step 2: Convert to fraction form
    7,820.32/10,792.62 = 5,163.12/x
  3. Step 3: Cross multiply
    7,820.32x = 10,792.62 × 5,163.12
  4. Step 4: Simplify right side
    7,820.32x = 55,723,592.17
  5. Step 5: Solve for x
    x = 55,723,592.17/7,820.32
  6. Step 6: Final answer
    x = 7,125.49

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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.