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Finding the Fourth Proportional to 7,138.43, 10,706.83 and 4,514.03

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Solution

The fourth proportional to 7,138.43, 10,706.83 and 4,514.03 is: 6,770.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.43 : 10,706.83 = 4,514.03 : x
  2. Step 2: Convert to fraction form
    7,138.43/10,706.83 = 4,514.03/x
  3. Step 3: Cross multiply
    7,138.43x = 10,706.83 × 4,514.03
  4. Step 4: Simplify right side
    7,138.43x = 48,330,875.72
  5. Step 5: Solve for x
    x = 48,330,875.72/7,138.43
  6. Step 6: Final answer
    x = 6,770.52

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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.