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Finding the Fourth Proportional to 12,392.00, 18,584.07 and 4,070.09

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Solution

The fourth proportional to 12,392.00, 18,584.07 and 4,070.09 is: 6,103.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,392.00 : 18,584.07 = 4,070.09 : x
  2. Step 2: Convert to fraction form
    12,392.00/18,584.07 = 4,070.09/x
  3. Step 3: Cross multiply
    12,392.00x = 18,584.07 × 4,070.09
  4. Step 4: Simplify right side
    12,392.00x = 75,638,787.02
  5. Step 5: Solve for x
    x = 75,638,787.02/12,392.00
  6. Step 6: Final answer
    x = 6,103.84

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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.