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Finding the Fourth Proportional to 6,206.88, 8,566.08 and 3,412.80

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Solution

The fourth proportional to 6,206.88, 8,566.08 and 3,412.80 is: 4,709.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.88 : 8,566.08 = 3,412.80 : x
  2. Step 2: Convert to fraction form
    6,206.88/8,566.08 = 3,412.80/x
  3. Step 3: Cross multiply
    6,206.88x = 8,566.08 × 3,412.80
  4. Step 4: Simplify right side
    6,206.88x = 29,234,317.82
  5. Step 5: Solve for x
    x = 29,234,317.82/6,206.88
  6. Step 6: Final answer
    x = 4,709.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.