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Finding the Fourth Proportional to 7,106.46, 10,667.61 and 4,190.46

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Solution

The fourth proportional to 7,106.46, 10,667.61 and 4,190.46 is: 6,290.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.46 : 10,667.61 = 4,190.46 : x
  2. Step 2: Convert to fraction form
    7,106.46/10,667.61 = 4,190.46/x
  3. Step 3: Cross multiply
    7,106.46x = 10,667.61 × 4,190.46
  4. Step 4: Simplify right side
    7,106.46x = 44,702,193.00
  5. Step 5: Solve for x
    x = 44,702,193.00/7,106.46
  6. Step 6: Final answer
    x = 6,290.36

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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.