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Finding the Fourth Proportional to 7,189.74, 10,782.68 and 3,029.78

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Solution

The fourth proportional to 7,189.74, 10,782.68 and 3,029.78 is: 4,543.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.74 : 10,782.68 = 3,029.78 : x
  2. Step 2: Convert to fraction form
    7,189.74/10,782.68 = 3,029.78/x
  3. Step 3: Cross multiply
    7,189.74x = 10,782.68 × 3,029.78
  4. Step 4: Simplify right side
    7,189.74x = 32,669,148.21
  5. Step 5: Solve for x
    x = 32,669,148.21/7,189.74
  6. Step 6: Final answer
    x = 4,543.86

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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.