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Finding the Fourth Proportional to 8,529.80, 12,794.70 and 4,143.50

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Solution

The fourth proportional to 8,529.80, 12,794.70 and 4,143.50 is: 6,215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,529.80 : 12,794.70 = 4,143.50 : x
  2. Step 2: Convert to fraction form
    8,529.80/12,794.70 = 4,143.50/x
  3. Step 3: Cross multiply
    8,529.80x = 12,794.70 × 4,143.50
  4. Step 4: Simplify right side
    8,529.80x = 53,014,839.45
  5. Step 5: Solve for x
    x = 53,014,839.45/8,529.80
  6. Step 6: Final answer
    x = 6,215.25

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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.