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Finding the Fourth Proportional to 7,662.66, 10,574.72 and 4,306.12

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Solution

The fourth proportional to 7,662.66, 10,574.72 and 4,306.12 is: 5,942.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.66 : 10,574.72 = 4,306.12 : x
  2. Step 2: Convert to fraction form
    7,662.66/10,574.72 = 4,306.12/x
  3. Step 3: Cross multiply
    7,662.66x = 10,574.72 × 4,306.12
  4. Step 4: Simplify right side
    7,662.66x = 45,536,013.29
  5. Step 5: Solve for x
    x = 45,536,013.29/7,662.66
  6. Step 6: Final answer
    x = 5,942.59

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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.