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Finding the Fourth Proportional to 7,861.49, 11,762.82 and 4,687.34

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Solution

The fourth proportional to 7,861.49, 11,762.82 and 4,687.34 is: 7,013.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.49 : 11,762.82 = 4,687.34 : x
  2. Step 2: Convert to fraction form
    7,861.49/11,762.82 = 4,687.34/x
  3. Step 3: Cross multiply
    7,861.49x = 11,762.82 × 4,687.34
  4. Step 4: Simplify right side
    7,861.49x = 55,136,277.88
  5. Step 5: Solve for x
    x = 55,136,277.88/7,861.49
  6. Step 6: Final answer
    x = 7,013.47

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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.