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Finding the Fourth Proportional to 10,613.81, 14,642.84 and 7,426.26

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Solution

The fourth proportional to 10,613.81, 14,642.84 and 7,426.26 is: 10,245.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.81 : 14,642.84 = 7,426.26 : x
  2. Step 2: Convert to fraction form
    10,613.81/14,642.84 = 7,426.26/x
  3. Step 3: Cross multiply
    10,613.81x = 14,642.84 × 7,426.26
  4. Step 4: Simplify right side
    10,613.81x = 108,741,555.54
  5. Step 5: Solve for x
    x = 108,741,555.54/10,613.81
  6. Step 6: Final answer
    x = 10,245.29

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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.