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Finding the Fourth Proportional to 11,890.60, 16,412.69 and 6,858.20

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Solution

The fourth proportional to 11,890.60, 16,412.69 and 6,858.20 is: 9,466.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,890.60 : 16,412.69 = 6,858.20 : x
  2. Step 2: Convert to fraction form
    11,890.60/16,412.69 = 6,858.20/x
  3. Step 3: Cross multiply
    11,890.60x = 16,412.69 × 6,858.20
  4. Step 4: Simplify right side
    11,890.60x = 112,561,568.74
  5. Step 5: Solve for x
    x = 112,561,568.74/11,890.60
  6. Step 6: Final answer
    x = 9,466.44

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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.