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Finding the Fourth Proportional to 7,870.82, 10,861.34 and 4,333.37

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Solution

The fourth proportional to 7,870.82, 10,861.34 and 4,333.37 is: 5,979.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.82 : 10,861.34 = 4,333.37 : x
  2. Step 2: Convert to fraction form
    7,870.82/10,861.34 = 4,333.37/x
  3. Step 3: Cross multiply
    7,870.82x = 10,861.34 × 4,333.37
  4. Step 4: Simplify right side
    7,870.82x = 47,066,128.94
  5. Step 5: Solve for x
    x = 47,066,128.94/7,870.82
  6. Step 6: Final answer
    x = 5,979.83

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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.