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Finding the Fourth Proportional to 7,428.56, 10,250.94 and 4,284.50

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Solution

The fourth proportional to 7,428.56, 10,250.94 and 4,284.50 is: 5,912.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,428.56 : 10,250.94 = 4,284.50 : x
  2. Step 2: Convert to fraction form
    7,428.56/10,250.94 = 4,284.50/x
  3. Step 3: Cross multiply
    7,428.56x = 10,250.94 × 4,284.50
  4. Step 4: Simplify right side
    7,428.56x = 43,920,152.43
  5. Step 5: Solve for x
    x = 43,920,152.43/7,428.56
  6. Step 6: Final answer
    x = 5,912.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.