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Finding the Fourth Proportional to 6,924.98, 10,375.66 and 3,807.60

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Solution

The fourth proportional to 6,924.98, 10,375.66 and 3,807.60 is: 5,704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.98 : 10,375.66 = 3,807.60 : x
  2. Step 2: Convert to fraction form
    6,924.98/10,375.66 = 3,807.60/x
  3. Step 3: Cross multiply
    6,924.98x = 10,375.66 × 3,807.60
  4. Step 4: Simplify right side
    6,924.98x = 39,506,353.50
  5. Step 5: Solve for x
    x = 39,506,353.50/6,924.98
  6. Step 6: Final answer
    x = 5,704.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.