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Finding the Fourth Proportional to 7,757.46, 10,704.71 and 4,399.50

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Solution

The fourth proportional to 7,757.46, 10,704.71 and 4,399.50 is: 6,070.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.46 : 10,704.71 = 4,399.50 : x
  2. Step 2: Convert to fraction form
    7,757.46/10,704.71 = 4,399.50/x
  3. Step 3: Cross multiply
    7,757.46x = 10,704.71 × 4,399.50
  4. Step 4: Simplify right side
    7,757.46x = 47,095,349.65
  5. Step 5: Solve for x
    x = 47,095,349.65/7,757.46
  6. Step 6: Final answer
    x = 6,070.98

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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.