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Finding the Fourth Proportional to 7,759.98, 10,708.72 and 4,223.25

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Solution

The fourth proportional to 7,759.98, 10,708.72 and 4,223.25 is: 5,828.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.98 : 10,708.72 = 4,223.25 : x
  2. Step 2: Convert to fraction form
    7,759.98/10,708.72 = 4,223.25/x
  3. Step 3: Cross multiply
    7,759.98x = 10,708.72 × 4,223.25
  4. Step 4: Simplify right side
    7,759.98x = 45,225,601.74
  5. Step 5: Solve for x
    x = 45,225,601.74/7,759.98
  6. Step 6: Final answer
    x = 5,828.06

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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.