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Finding the Fourth Proportional to 7,760.30, 10,708.86 and 4,223.56

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Solution

The fourth proportional to 7,760.30, 10,708.86 and 4,223.56 is: 5,828.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.30 : 10,708.86 = 4,223.56 : x
  2. Step 2: Convert to fraction form
    7,760.30/10,708.86 = 4,223.56/x
  3. Step 3: Cross multiply
    7,760.30x = 10,708.86 × 4,223.56
  4. Step 4: Simplify right side
    7,760.30x = 45,229,512.74
  5. Step 5: Solve for x
    x = 45,229,512.74/7,760.30
  6. Step 6: Final answer
    x = 5,828.32

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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.