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Finding the Fourth Proportional to 10,685.22, 14,744.55 and 6,209.16

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Solution

The fourth proportional to 10,685.22, 14,744.55 and 6,209.16 is: 8,568.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.22 : 14,744.55 = 6,209.16 : x
  2. Step 2: Convert to fraction form
    10,685.22/14,744.55 = 6,209.16/x
  3. Step 3: Cross multiply
    10,685.22x = 14,744.55 × 6,209.16
  4. Step 4: Simplify right side
    10,685.22x = 91,551,270.08
  5. Step 5: Solve for x
    x = 91,551,270.08/10,685.22
  6. Step 6: Final answer
    x = 8,568.03

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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.