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Finding the Fourth Proportional to 10,613.70, 14,638.32 and 7,425.81

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Solution

The fourth proportional to 10,613.70, 14,638.32 and 7,425.81 is: 10,241.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.70 : 14,638.32 = 7,425.81 : x
  2. Step 2: Convert to fraction form
    10,613.70/14,638.32 = 7,425.81/x
  3. Step 3: Cross multiply
    10,613.70x = 14,638.32 × 7,425.81
  4. Step 4: Simplify right side
    10,613.70x = 108,701,383.04
  5. Step 5: Solve for x
    x = 108,701,383.04/10,613.70
  6. Step 6: Final answer
    x = 10,241.61

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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.