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Finding the Fourth Proportional to 25,871.37, 38,800.91 and 7,151.01

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Solution

The fourth proportional to 25,871.37, 38,800.91 and 7,151.01 is: 10,724.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,871.37 : 38,800.91 = 7,151.01 : x
  2. Step 2: Convert to fraction form
    25,871.37/38,800.91 = 7,151.01/x
  3. Step 3: Cross multiply
    25,871.37x = 38,800.91 × 7,151.01
  4. Step 4: Simplify right side
    25,871.37x = 277,465,695.42
  5. Step 5: Solve for x
    x = 277,465,695.42/25,871.37
  6. Step 6: Final answer
    x = 10,724.82

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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.