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Finding the Fourth Proportional to 7,306.56, 10,083.12 and 4,162.95

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Solution

The fourth proportional to 7,306.56, 10,083.12 and 4,162.95 is: 5,744.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.56 : 10,083.12 = 4,162.95 : x
  2. Step 2: Convert to fraction form
    7,306.56/10,083.12 = 4,162.95/x
  3. Step 3: Cross multiply
    7,306.56x = 10,083.12 × 4,162.95
  4. Step 4: Simplify right side
    7,306.56x = 41,975,508.79
  5. Step 5: Solve for x
    x = 41,975,508.79/7,306.56
  6. Step 6: Final answer
    x = 5,744.91

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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.