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Finding the Fourth Proportional to 10,613.43, 15,915.78 and 4,609.89

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Solution

The fourth proportional to 10,613.43, 15,915.78 and 4,609.89 is: 6,912.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.43 : 15,915.78 = 4,609.89 : x
  2. Step 2: Convert to fraction form
    10,613.43/15,915.78 = 4,609.89/x
  3. Step 3: Cross multiply
    10,613.43x = 15,915.78 × 4,609.89
  4. Step 4: Simplify right side
    10,613.43x = 73,369,995.06
  5. Step 5: Solve for x
    x = 73,369,995.06/10,613.43
  6. Step 6: Final answer
    x = 6,912.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.