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Finding the Fourth Proportional to 7,886.88, 11,830.16 and 3,205.60

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Solution

The fourth proportional to 7,886.88, 11,830.16 and 3,205.60 is: 4,808.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.88 : 11,830.16 = 3,205.60 : x
  2. Step 2: Convert to fraction form
    7,886.88/11,830.16 = 3,205.60/x
  3. Step 3: Cross multiply
    7,886.88x = 11,830.16 × 3,205.60
  4. Step 4: Simplify right side
    7,886.88x = 37,922,760.90
  5. Step 5: Solve for x
    x = 37,922,760.90/7,886.88
  6. Step 6: Final answer
    x = 4,808.33

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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.