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Finding the Fourth Proportional to 25,367.46, 38,053.01 and 7,835.01

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Solution

The fourth proportional to 25,367.46, 38,053.01 and 7,835.01 is: 11,753.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,367.46 : 38,053.01 = 7,835.01 : x
  2. Step 2: Convert to fraction form
    25,367.46/38,053.01 = 7,835.01/x
  3. Step 3: Cross multiply
    25,367.46x = 38,053.01 × 7,835.01
  4. Step 4: Simplify right side
    25,367.46x = 298,145,713.88
  5. Step 5: Solve for x
    x = 298,145,713.88/25,367.46
  6. Step 6: Final answer
    x = 11,753.08

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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.