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Finding the Fourth Proportional to 6,874.46, 10,307.12 and 3,544.75

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Solution

The fourth proportional to 6,874.46, 10,307.12 and 3,544.75 is: 5,314.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.46 : 10,307.12 = 3,544.75 : x
  2. Step 2: Convert to fraction form
    6,874.46/10,307.12 = 3,544.75/x
  3. Step 3: Cross multiply
    6,874.46x = 10,307.12 × 3,544.75
  4. Step 4: Simplify right side
    6,874.46x = 36,536,094.36
  5. Step 5: Solve for x
    x = 36,536,094.36/6,874.46
  6. Step 6: Final answer
    x = 5,314.76

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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.