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Finding the Fourth Proportional to 7,586.83, 11,372.02 and 3,883.98

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Solution

The fourth proportional to 7,586.83, 11,372.02 and 3,883.98 is: 5,821.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.83 : 11,372.02 = 3,883.98 : x
  2. Step 2: Convert to fraction form
    7,586.83/11,372.02 = 3,883.98/x
  3. Step 3: Cross multiply
    7,586.83x = 11,372.02 × 3,883.98
  4. Step 4: Simplify right side
    7,586.83x = 44,168,698.24
  5. Step 5: Solve for x
    x = 44,168,698.24/7,586.83
  6. Step 6: Final answer
    x = 5,821.76

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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.