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Finding the Fourth Proportional to 11,611.45, 16,023.04 and 7,419.25

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Solution

The fourth proportional to 11,611.45, 16,023.04 and 7,419.25 is: 10,238.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.45 : 16,023.04 = 7,419.25 : x
  2. Step 2: Convert to fraction form
    11,611.45/16,023.04 = 7,419.25/x
  3. Step 3: Cross multiply
    11,611.45x = 16,023.04 × 7,419.25
  4. Step 4: Simplify right side
    11,611.45x = 118,878,939.52
  5. Step 5: Solve for x
    x = 118,878,939.52/11,611.45
  6. Step 6: Final answer
    x = 10,238.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.