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Finding the Fourth Proportional to 10,613.33, 14,645.22 and 6,136.40

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Solution

The fourth proportional to 10,613.33, 14,645.22 and 6,136.40 is: 8,467.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.33 : 14,645.22 = 6,136.40 : x
  2. Step 2: Convert to fraction form
    10,613.33/14,645.22 = 6,136.40/x
  3. Step 3: Cross multiply
    10,613.33x = 14,645.22 × 6,136.40
  4. Step 4: Simplify right side
    10,613.33x = 89,868,928.01
  5. Step 5: Solve for x
    x = 89,868,928.01/10,613.33
  6. Step 6: Final answer
    x = 8,467.55

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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.