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Finding the Fourth Proportional to 7,761.36, 10,710.68 and 4,224.57

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Solution

The fourth proportional to 7,761.36, 10,710.68 and 4,224.57 is: 5,829.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.36 : 10,710.68 = 4,224.57 : x
  2. Step 2: Convert to fraction form
    7,761.36/10,710.68 = 4,224.57/x
  3. Step 3: Cross multiply
    7,761.36x = 10,710.68 × 4,224.57
  4. Step 4: Simplify right side
    7,761.36x = 45,247,996.28
  5. Step 5: Solve for x
    x = 45,247,996.28/7,761.36
  6. Step 6: Final answer
    x = 5,829.91

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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.