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Finding the Fourth Proportional to 12,085.56, 18,123.42 and 3,762.78

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Solution

The fourth proportional to 12,085.56, 18,123.42 and 3,762.78 is: 5,642.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.56 : 18,123.42 = 3,762.78 : x
  2. Step 2: Convert to fraction form
    12,085.56/18,123.42 = 3,762.78/x
  3. Step 3: Cross multiply
    12,085.56x = 18,123.42 × 3,762.78
  4. Step 4: Simplify right side
    12,085.56x = 68,194,442.31
  5. Step 5: Solve for x
    x = 68,194,442.31/12,085.56
  6. Step 6: Final answer
    x = 5,642.64

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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.