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Finding the Fourth Proportional to 7,759.50, 10,708.02 and 4,222.65

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Solution

The fourth proportional to 7,759.50, 10,708.02 and 4,222.65 is: 5,827.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.50 : 10,708.02 = 4,222.65 : x
  2. Step 2: Convert to fraction form
    7,759.50/10,708.02 = 4,222.65/x
  3. Step 3: Cross multiply
    7,759.50x = 10,708.02 × 4,222.65
  4. Step 4: Simplify right side
    7,759.50x = 45,216,220.65
  5. Step 5: Solve for x
    x = 45,216,220.65/7,759.50
  6. Step 6: Final answer
    x = 5,827.21

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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.