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Finding the Fourth Proportional to 7,211.60, 10,824.08 and 4,443.68

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Solution

The fourth proportional to 7,211.60, 10,824.08 and 4,443.68 is: 6,669.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.60 : 10,824.08 = 4,443.68 : x
  2. Step 2: Convert to fraction form
    7,211.60/10,824.08 = 4,443.68/x
  3. Step 3: Cross multiply
    7,211.60x = 10,824.08 × 4,443.68
  4. Step 4: Simplify right side
    7,211.60x = 48,098,671.48
  5. Step 5: Solve for x
    x = 48,098,671.48/7,211.60
  6. Step 6: Final answer
    x = 6,669.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.