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Finding the Fourth Proportional to 7,792.16, 10,747.72 and 5,273.16

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Solution

The fourth proportional to 7,792.16, 10,747.72 and 5,273.16 is: 7,273.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.16 : 10,747.72 = 5,273.16 : x
  2. Step 2: Convert to fraction form
    7,792.16/10,747.72 = 5,273.16/x
  3. Step 3: Cross multiply
    7,792.16x = 10,747.72 × 5,273.16
  4. Step 4: Simplify right side
    7,792.16x = 56,674,434.01
  5. Step 5: Solve for x
    x = 56,674,434.01/7,792.16
  6. Step 6: Final answer
    x = 7,273.27

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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.