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Finding the Fourth Proportional to 8,566.56, 12,841.20 and 3,369.60

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Solution

The fourth proportional to 8,566.56, 12,841.20 and 3,369.60 is: 5,051.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.56 : 12,841.20 = 3,369.60 : x
  2. Step 2: Convert to fraction form
    8,566.56/12,841.20 = 3,369.60/x
  3. Step 3: Cross multiply
    8,566.56x = 12,841.20 × 3,369.60
  4. Step 4: Simplify right side
    8,566.56x = 43,269,707.52
  5. Step 5: Solve for x
    x = 43,269,707.52/8,566.56
  6. Step 6: Final answer
    x = 5,051.00

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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.