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Finding the Fourth Proportional to 25,325.44, 37,986.72 and 6,856

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Solution

The fourth proportional to 25,325.44, 37,986.72 and 6,856 is: 10,283.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,325.44 : 37,986.72 = 6,856 : x
  2. Step 2: Convert to fraction form
    25,325.44/37,986.72 = 6,856/x
  3. Step 3: Cross multiply
    25,325.44x = 37,986.72 × 6,856
  4. Step 4: Simplify right side
    25,325.44x = 260,436,952.32
  5. Step 5: Solve for x
    x = 260,436,952.32/25,325.44
  6. Step 6: Final answer
    x = 10,283.61

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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.