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Finding the Fourth Proportional to 11,241.48, 16,866.60 and 4,666

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Solution

The fourth proportional to 11,241.48, 16,866.60 and 4,666 is: 7,000.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,241.48 : 16,866.60 = 4,666 : x
  2. Step 2: Convert to fraction form
    11,241.48/16,866.60 = 4,666/x
  3. Step 3: Cross multiply
    11,241.48x = 16,866.60 × 4,666
  4. Step 4: Simplify right side
    11,241.48x = 78,699,555.60
  5. Step 5: Solve for x
    x = 78,699,555.60/11,241.48
  6. Step 6: Final answer
    x = 7,000.82

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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.