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Finding the Fourth Proportional to 6,964.70, 10,441.57 and 4,766.76

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Solution

The fourth proportional to 6,964.70, 10,441.57 and 4,766.76 is: 7,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.70 : 10,441.57 = 4,766.76 : x
  2. Step 2: Convert to fraction form
    6,964.70/10,441.57 = 4,766.76/x
  3. Step 3: Cross multiply
    6,964.70x = 10,441.57 × 4,766.76
  4. Step 4: Simplify right side
    6,964.70x = 49,772,455.23
  5. Step 5: Solve for x
    x = 49,772,455.23/6,964.70
  6. Step 6: Final answer
    x = 7,146.39

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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.