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Finding the Fourth Proportional to 10,766.54, 16,152.87 and 4,194.60

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Solution

The fourth proportional to 10,766.54, 16,152.87 and 4,194.60 is: 6,293.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766.54 : 16,152.87 = 4,194.60 : x
  2. Step 2: Convert to fraction form
    10,766.54/16,152.87 = 4,194.60/x
  3. Step 3: Cross multiply
    10,766.54x = 16,152.87 × 4,194.60
  4. Step 4: Simplify right side
    10,766.54x = 67,754,828.50
  5. Step 5: Solve for x
    x = 67,754,828.50/10,766.54
  6. Step 6: Final answer
    x = 6,293.09

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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.