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Finding the Fourth Proportional to 7,928.56, 11,894.61 and 4,228.84

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Solution

The fourth proportional to 7,928.56, 11,894.61 and 4,228.84 is: 6,344.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,928.56 : 11,894.61 = 4,228.84 : x
  2. Step 2: Convert to fraction form
    7,928.56/11,894.61 = 4,228.84/x
  3. Step 3: Cross multiply
    7,928.56x = 11,894.61 × 4,228.84
  4. Step 4: Simplify right side
    7,928.56x = 50,300,402.55
  5. Step 5: Solve for x
    x = 50,300,402.55/7,928.56
  6. Step 6: Final answer
    x = 6,344.20

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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.