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Finding the Fourth Proportional to 8,464.50, 12,696.51 and 3,783.30

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Solution

The fourth proportional to 8,464.50, 12,696.51 and 3,783.30 is: 5,674.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.50 : 12,696.51 = 3,783.30 : x
  2. Step 2: Convert to fraction form
    8,464.50/12,696.51 = 3,783.30/x
  3. Step 3: Cross multiply
    8,464.50x = 12,696.51 × 3,783.30
  4. Step 4: Simplify right side
    8,464.50x = 48,034,706.28
  5. Step 5: Solve for x
    x = 48,034,706.28/8,464.50
  6. Step 6: Final answer
    x = 5,674.84

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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.