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Finding the Fourth Proportional to 7,744.70, 10,687.56 and 4,207.98

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Solution

The fourth proportional to 7,744.70, 10,687.56 and 4,207.98 is: 5,806.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.70 : 10,687.56 = 4,207.98 : x
  2. Step 2: Convert to fraction form
    7,744.70/10,687.56 = 4,207.98/x
  3. Step 3: Cross multiply
    7,744.70x = 10,687.56 × 4,207.98
  4. Step 4: Simplify right side
    7,744.70x = 44,973,038.73
  5. Step 5: Solve for x
    x = 44,973,038.73/7,744.70
  6. Step 6: Final answer
    x = 5,806.94

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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.