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Finding the Fourth Proportional to 7,861.95, 10,849.70 and 4,277.13

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Solution

The fourth proportional to 7,861.95, 10,849.70 and 4,277.13 is: 5,902.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.95 : 10,849.70 = 4,277.13 : x
  2. Step 2: Convert to fraction form
    7,861.95/10,849.70 = 4,277.13/x
  3. Step 3: Cross multiply
    7,861.95x = 10,849.70 × 4,277.13
  4. Step 4: Simplify right side
    7,861.95x = 46,405,626.88
  5. Step 5: Solve for x
    x = 46,405,626.88/7,861.95
  6. Step 6: Final answer
    x = 5,902.56

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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.