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Finding the Fourth Proportional to 10,684.14, 14,743.11 and 6,207.84

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Solution

The fourth proportional to 10,684.14, 14,743.11 and 6,207.84 is: 8,566.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.14 : 14,743.11 = 6,207.84 : x
  2. Step 2: Convert to fraction form
    10,684.14/14,743.11 = 6,207.84/x
  3. Step 3: Cross multiply
    10,684.14x = 14,743.11 × 6,207.84
  4. Step 4: Simplify right side
    10,684.14x = 91,522,891.26
  5. Step 5: Solve for x
    x = 91,522,891.26/10,684.14
  6. Step 6: Final answer
    x = 8,566.24

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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.