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Finding the Fourth Proportional to 25,682.52, 38,525.46 and 7,911

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Solution

The fourth proportional to 25,682.52, 38,525.46 and 7,911 is: 11,867.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,682.52 : 38,525.46 = 7,911 : x
  2. Step 2: Convert to fraction form
    25,682.52/38,525.46 = 7,911/x
  3. Step 3: Cross multiply
    25,682.52x = 38,525.46 × 7,911
  4. Step 4: Simplify right side
    25,682.52x = 304,774,914.06
  5. Step 5: Solve for x
    x = 304,774,914.06/25,682.52
  6. Step 6: Final answer
    x = 11,867.02

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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.