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Finding the Fourth Proportional to 8,536.80, 12,784.80 and 4,140.12

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Solution

The fourth proportional to 8,536.80, 12,784.80 and 4,140.12 is: 6,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.80 : 12,784.80 = 4,140.12 : x
  2. Step 2: Convert to fraction form
    8,536.80/12,784.80 = 4,140.12/x
  3. Step 3: Cross multiply
    8,536.80x = 12,784.80 × 4,140.12
  4. Step 4: Simplify right side
    8,536.80x = 52,930,606.18
  5. Step 5: Solve for x
    x = 52,930,606.18/8,536.80
  6. Step 6: Final answer
    x = 6,200.29

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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.