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Finding the Fourth Proportional to 7,582.90, 11,375.42 and 2,651.42

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Solution

The fourth proportional to 7,582.90, 11,375.42 and 2,651.42 is: 3,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.90 : 11,375.42 = 2,651.42 : x
  2. Step 2: Convert to fraction form
    7,582.90/11,375.42 = 2,651.42/x
  3. Step 3: Cross multiply
    7,582.90x = 11,375.42 × 2,651.42
  4. Step 4: Simplify right side
    7,582.90x = 30,161,016.10
  5. Step 5: Solve for x
    x = 30,161,016.10/7,582.90
  6. Step 6: Final answer
    x = 3,977.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.