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Finding the Fourth Proportional to 11,896.27, 16,412.12 and 7,646.60

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Solution

The fourth proportional to 11,896.27, 16,412.12 and 7,646.60 is: 10,549.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.27 : 16,412.12 = 7,646.60 : x
  2. Step 2: Convert to fraction form
    11,896.27/16,412.12 = 7,646.60/x
  3. Step 3: Cross multiply
    11,896.27x = 16,412.12 × 7,646.60
  4. Step 4: Simplify right side
    11,896.27x = 125,496,948.26
  5. Step 5: Solve for x
    x = 125,496,948.26/11,896.27
  6. Step 6: Final answer
    x = 10,549.27

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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.