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Finding the Fourth Proportional to 7,394.60, 10,205.44 and 4,208.67

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Solution

The fourth proportional to 7,394.60, 10,205.44 and 4,208.67 is: 5,808.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,394.60 : 10,205.44 = 4,208.67 : x
  2. Step 2: Convert to fraction form
    7,394.60/10,205.44 = 4,208.67/x
  3. Step 3: Cross multiply
    7,394.60x = 10,205.44 × 4,208.67
  4. Step 4: Simplify right side
    7,394.60x = 42,951,311.06
  5. Step 5: Solve for x
    x = 42,951,311.06/7,394.60
  6. Step 6: Final answer
    x = 5,808.47

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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.