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Finding the Fourth Proportional to 7,166.43, 10,753.79 and 3,006.06

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Solution

The fourth proportional to 7,166.43, 10,753.79 and 3,006.06 is: 4,510.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.43 : 10,753.79 = 3,006.06 : x
  2. Step 2: Convert to fraction form
    7,166.43/10,753.79 = 3,006.06/x
  3. Step 3: Cross multiply
    7,166.43x = 10,753.79 × 3,006.06
  4. Step 4: Simplify right side
    7,166.43x = 32,326,522.94
  5. Step 5: Solve for x
    x = 32,326,522.94/7,166.43
  6. Step 6: Final answer
    x = 4,510.83

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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.