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Finding the Fourth Proportional to 7,586.74, 11,372.76 and 3,689.02

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Solution

The fourth proportional to 7,586.74, 11,372.76 and 3,689.02 is: 5,529.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.74 : 11,372.76 = 3,689.02 : x
  2. Step 2: Convert to fraction form
    7,586.74/11,372.76 = 3,689.02/x
  3. Step 3: Cross multiply
    7,586.74x = 11,372.76 × 3,689.02
  4. Step 4: Simplify right side
    7,586.74x = 41,954,339.10
  5. Step 5: Solve for x
    x = 41,954,339.10/7,586.74
  6. Step 6: Final answer
    x = 5,529.96

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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.