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Finding the Fourth Proportional to 7,211.61, 10,824.16 and 4,443.70

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Solution

The fourth proportional to 7,211.61, 10,824.16 and 4,443.70 is: 6,669.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.61 : 10,824.16 = 4,443.70 : x
  2. Step 2: Convert to fraction form
    7,211.61/10,824.16 = 4,443.70/x
  3. Step 3: Cross multiply
    7,211.61x = 10,824.16 × 4,443.70
  4. Step 4: Simplify right side
    7,211.61x = 48,099,319.79
  5. Step 5: Solve for x
    x = 48,099,319.79/7,211.61
  6. Step 6: Final answer
    x = 6,669.71

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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.