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Finding the Fourth Proportional to 7,694.96, 10,620.68 and 4,862.12

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Solution

The fourth proportional to 7,694.96, 10,620.68 and 4,862.12 is: 6,710.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.96 : 10,620.68 = 4,862.12 : x
  2. Step 2: Convert to fraction form
    7,694.96/10,620.68 = 4,862.12/x
  3. Step 3: Cross multiply
    7,694.96x = 10,620.68 × 4,862.12
  4. Step 4: Simplify right side
    7,694.96x = 51,639,020.64
  5. Step 5: Solve for x
    x = 51,639,020.64/7,694.96
  6. Step 6: Final answer
    x = 6,710.76

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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.