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Finding the Fourth Proportional to 7,146.36, 10,723.16 and 6,605.04

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Solution

The fourth proportional to 7,146.36, 10,723.16 and 6,605.04 is: 9,910.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.36 : 10,723.16 = 6,605.04 : x
  2. Step 2: Convert to fraction form
    7,146.36/10,723.16 = 6,605.04/x
  3. Step 3: Cross multiply
    7,146.36x = 10,723.16 × 6,605.04
  4. Step 4: Simplify right side
    7,146.36x = 70,826,900.73
  5. Step 5: Solve for x
    x = 70,826,900.73/7,146.36
  6. Step 6: Final answer
    x = 9,910.91

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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.