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Finding the Fourth Proportional to 11,461.29, 15,778.80 and 9,968.42

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Solution

The fourth proportional to 11,461.29, 15,778.80 and 9,968.42 is: 13,723.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.29 : 15,778.80 = 9,968.42 : x
  2. Step 2: Convert to fraction form
    11,461.29/15,778.80 = 9,968.42/x
  3. Step 3: Cross multiply
    11,461.29x = 15,778.80 × 9,968.42
  4. Step 4: Simplify right side
    11,461.29x = 157,289,626.60
  5. Step 5: Solve for x
    x = 157,289,626.60/11,461.29
  6. Step 6: Final answer
    x = 13,723.55

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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.