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Finding the Fourth Proportional to 11,766.63, 16,230.87 and 7,518.60

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Solution

The fourth proportional to 11,766.63, 16,230.87 and 7,518.60 is: 10,371.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.63 : 16,230.87 = 7,518.60 : x
  2. Step 2: Convert to fraction form
    11,766.63/16,230.87 = 7,518.60/x
  3. Step 3: Cross multiply
    11,766.63x = 16,230.87 × 7,518.60
  4. Step 4: Simplify right side
    11,766.63x = 122,033,419.18
  5. Step 5: Solve for x
    x = 122,033,419.18/11,766.63
  6. Step 6: Final answer
    x = 10,371.14

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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.