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Finding the Fourth Proportional to 7,820.43, 10,792.70 and 5,133.25

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Solution

The fourth proportional to 7,820.43, 10,792.70 and 5,133.25 is: 7,084.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.43 : 10,792.70 = 5,133.25 : x
  2. Step 2: Convert to fraction form
    7,820.43/10,792.70 = 5,133.25/x
  3. Step 3: Cross multiply
    7,820.43x = 10,792.70 × 5,133.25
  4. Step 4: Simplify right side
    7,820.43x = 55,401,627.28
  5. Step 5: Solve for x
    x = 55,401,627.28/7,820.43
  6. Step 6: Final answer
    x = 7,084.22

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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.