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Finding the Fourth Proportional to 8,523.30, 12,783.81 and 3,328.50

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Solution

The fourth proportional to 8,523.30, 12,783.81 and 3,328.50 is: 4,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.30 : 12,783.81 = 3,328.50 : x
  2. Step 2: Convert to fraction form
    8,523.30/12,783.81 = 3,328.50/x
  3. Step 3: Cross multiply
    8,523.30x = 12,783.81 × 3,328.50
  4. Step 4: Simplify right side
    8,523.30x = 42,550,911.59
  5. Step 5: Solve for x
    x = 42,550,911.59/8,523.30
  6. Step 6: Final answer
    x = 4,992.30

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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.