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Finding the Fourth Proportional to 7,586.51, 11,375.42 and 3,138.89

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Solution

The fourth proportional to 7,586.51, 11,375.42 and 3,138.89 is: 4,706.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.51 : 11,375.42 = 3,138.89 : x
  2. Step 2: Convert to fraction form
    7,586.51/11,375.42 = 3,138.89/x
  3. Step 3: Cross multiply
    7,586.51x = 11,375.42 × 3,138.89
  4. Step 4: Simplify right side
    7,586.51x = 35,706,119.51
  5. Step 5: Solve for x
    x = 35,706,119.51/7,586.51
  6. Step 6: Final answer
    x = 4,706.53

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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.