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Finding the Fourth Proportional to 25,395.91, 38,103.89 and 7,867.10

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Solution

The fourth proportional to 25,395.91, 38,103.89 and 7,867.10 is: 11,803.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,395.91 : 38,103.89 = 7,867.10 : x
  2. Step 2: Convert to fraction form
    25,395.91/38,103.89 = 7,867.10/x
  3. Step 3: Cross multiply
    25,395.91x = 38,103.89 × 7,867.10
  4. Step 4: Simplify right side
    25,395.91x = 299,767,073.68
  5. Step 5: Solve for x
    x = 299,767,073.68/25,395.91
  6. Step 6: Final answer
    x = 11,803.76

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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.