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Finding the Fourth Proportional to 6,828.46, 10,235.39 and 4,874.74

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Solution

The fourth proportional to 6,828.46, 10,235.39 and 4,874.74 is: 7,306.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.46 : 10,235.39 = 4,874.74 : x
  2. Step 2: Convert to fraction form
    6,828.46/10,235.39 = 4,874.74/x
  3. Step 3: Cross multiply
    6,828.46x = 10,235.39 × 4,874.74
  4. Step 4: Simplify right side
    6,828.46x = 49,894,815.09
  5. Step 5: Solve for x
    x = 49,894,815.09/6,828.46
  6. Step 6: Final answer
    x = 7,306.89

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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.