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Finding the Fourth Proportional to 7,306.65, 10,083.29 and 4,162.77

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Solution

The fourth proportional to 7,306.65, 10,083.29 and 4,162.77 is: 5,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.65 : 10,083.29 = 4,162.77 : x
  2. Step 2: Convert to fraction form
    7,306.65/10,083.29 = 4,162.77/x
  3. Step 3: Cross multiply
    7,306.65x = 10,083.29 × 4,162.77
  4. Step 4: Simplify right side
    7,306.65x = 41,974,396.30
  5. Step 5: Solve for x
    x = 41,974,396.30/7,306.65
  6. Step 6: Final answer
    x = 5,744.68

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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.