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Finding the Fourth Proportional to 11,306.46, 16,967.19 and 4,648.41

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Solution

The fourth proportional to 11,306.46, 16,967.19 and 4,648.41 is: 6,975.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.46 : 16,967.19 = 4,648.41 : x
  2. Step 2: Convert to fraction form
    11,306.46/16,967.19 = 4,648.41/x
  3. Step 3: Cross multiply
    11,306.46x = 16,967.19 × 4,648.41
  4. Step 4: Simplify right side
    11,306.46x = 78,870,455.67
  5. Step 5: Solve for x
    x = 78,870,455.67/11,306.46
  6. Step 6: Final answer
    x = 6,975.70

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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.