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Finding the Fourth Proportional to 7,820.56, 10,792.28 and 4,283.72

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Solution

The fourth proportional to 7,820.56, 10,792.28 and 4,283.72 is: 5,911.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.56 : 10,792.28 = 4,283.72 : x
  2. Step 2: Convert to fraction form
    7,820.56/10,792.28 = 4,283.72/x
  3. Step 3: Cross multiply
    7,820.56x = 10,792.28 × 4,283.72
  4. Step 4: Simplify right side
    7,820.56x = 46,231,105.68
  5. Step 5: Solve for x
    x = 46,231,105.68/7,820.56
  6. Step 6: Final answer
    x = 5,911.48

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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.