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Finding the Fourth Proportional to 7,154.44, 10,738.94 and 4,933.42

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Solution

The fourth proportional to 7,154.44, 10,738.94 and 4,933.42 is: 7,405.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.44 : 10,738.94 = 4,933.42 : x
  2. Step 2: Convert to fraction form
    7,154.44/10,738.94 = 4,933.42/x
  3. Step 3: Cross multiply
    7,154.44x = 10,738.94 × 4,933.42
  4. Step 4: Simplify right side
    7,154.44x = 52,979,701.37
  5. Step 5: Solve for x
    x = 52,979,701.37/7,154.44
  6. Step 6: Final answer
    x = 7,405.15

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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.