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Finding the Fourth Proportional to 8,244, 12,334.95 and 5,783.67

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Solution

The fourth proportional to 8,244, 12,334.95 and 5,783.67 is: 8,653.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,244 : 12,334.95 = 5,783.67 : x
  2. Step 2: Convert to fraction form
    8,244/12,334.95 = 5,783.67/x
  3. Step 3: Cross multiply
    8,244x = 12,334.95 × 5,783.67
  4. Step 4: Simplify right side
    8,244x = 71,341,280.27
  5. Step 5: Solve for x
    x = 71,341,280.27/8,244
  6. Step 6: Final answer
    x = 8,653.72

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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.