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Finding the Fourth Proportional to 8,123.90, 12,176.40 and 3,741.80

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Solution

The fourth proportional to 8,123.90, 12,176.40 and 3,741.80 is: 5,608.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.90 : 12,176.40 = 3,741.80 : x
  2. Step 2: Convert to fraction form
    8,123.90/12,176.40 = 3,741.80/x
  3. Step 3: Cross multiply
    8,123.90x = 12,176.40 × 3,741.80
  4. Step 4: Simplify right side
    8,123.90x = 45,561,653.52
  5. Step 5: Solve for x
    x = 45,561,653.52/8,123.90
  6. Step 6: Final answer
    x = 5,608.35

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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.