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Finding the Fourth Proportional to 8,123.56, 12,185.34 and 2,928.22

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Solution

The fourth proportional to 8,123.56, 12,185.34 and 2,928.22 is: 4,392.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.56 : 12,185.34 = 2,928.22 : x
  2. Step 2: Convert to fraction form
    8,123.56/12,185.34 = 2,928.22/x
  3. Step 3: Cross multiply
    8,123.56x = 12,185.34 × 2,928.22
  4. Step 4: Simplify right side
    8,123.56x = 35,681,356.29
  5. Step 5: Solve for x
    x = 35,681,356.29/8,123.56
  6. Step 6: Final answer
    x = 4,392.33

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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.