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Finding the Fourth Proportional to 25,329.44, 37,992.72 and 6,860

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Solution

The fourth proportional to 25,329.44, 37,992.72 and 6,860 is: 10,289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,329.44 : 37,992.72 = 6,860 : x
  2. Step 2: Convert to fraction form
    25,329.44/37,992.72 = 6,860/x
  3. Step 3: Cross multiply
    25,329.44x = 37,992.72 × 6,860
  4. Step 4: Simplify right side
    25,329.44x = 260,630,059.20
  5. Step 5: Solve for x
    x = 260,630,059.20/25,329.44
  6. Step 6: Final answer
    x = 10,289.61

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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.