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Finding the Fourth Proportional to 8,678.94, 13,022.34 and 3,412.50

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Solution

The fourth proportional to 8,678.94, 13,022.34 and 3,412.50 is: 5,120.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.94 : 13,022.34 = 3,412.50 : x
  2. Step 2: Convert to fraction form
    8,678.94/13,022.34 = 3,412.50/x
  3. Step 3: Cross multiply
    8,678.94x = 13,022.34 × 3,412.50
  4. Step 4: Simplify right side
    8,678.94x = 44,438,735.25
  5. Step 5: Solve for x
    x = 44,438,735.25/8,678.94
  6. Step 6: Final answer
    x = 5,120.30

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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.