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Finding the Fourth Proportional to 7,166.29, 10,753.62 and 3,005.98

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Solution

The fourth proportional to 7,166.29, 10,753.62 and 3,005.98 is: 4,510.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.29 : 10,753.62 = 3,005.98 : x
  2. Step 2: Convert to fraction form
    7,166.29/10,753.62 = 3,005.98/x
  3. Step 3: Cross multiply
    7,166.29x = 10,753.62 × 3,005.98
  4. Step 4: Simplify right side
    7,166.29x = 32,325,166.65
  5. Step 5: Solve for x
    x = 32,325,166.65/7,166.29
  6. Step 6: Final answer
    x = 4,510.73

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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.