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Finding the Fourth Proportional to 8,219.74, 12,332.85 and 3,599.50

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Solution

The fourth proportional to 8,219.74, 12,332.85 and 3,599.50 is: 5,400.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.74 : 12,332.85 = 3,599.50 : x
  2. Step 2: Convert to fraction form
    8,219.74/12,332.85 = 3,599.50/x
  3. Step 3: Cross multiply
    8,219.74x = 12,332.85 × 3,599.50
  4. Step 4: Simplify right side
    8,219.74x = 44,392,093.58
  5. Step 5: Solve for x
    x = 44,392,093.58/8,219.74
  6. Step 6: Final answer
    x = 5,400.67

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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.