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Finding the Fourth Proportional to 12,592.46, 18,889.61 and 5,194.94

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Solution

The fourth proportional to 12,592.46, 18,889.61 and 5,194.94 is: 7,792.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,592.46 : 18,889.61 = 5,194.94 : x
  2. Step 2: Convert to fraction form
    12,592.46/18,889.61 = 5,194.94/x
  3. Step 3: Cross multiply
    12,592.46x = 18,889.61 × 5,194.94
  4. Step 4: Simplify right side
    12,592.46x = 98,130,270.15
  5. Step 5: Solve for x
    x = 98,130,270.15/12,592.46
  6. Step 6: Final answer
    x = 7,792.78

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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.