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Finding the Fourth Proportional to 11,973.07, 17,958.12 and 3,208.60

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Solution

The fourth proportional to 11,973.07, 17,958.12 and 3,208.60 is: 4,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973.07 : 17,958.12 = 3,208.60 : x
  2. Step 2: Convert to fraction form
    11,973.07/17,958.12 = 3,208.60/x
  3. Step 3: Cross multiply
    11,973.07x = 17,958.12 × 3,208.60
  4. Step 4: Simplify right side
    11,973.07x = 57,620,423.83
  5. Step 5: Solve for x
    x = 57,620,423.83/11,973.07
  6. Step 6: Final answer
    x = 4,812.50

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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.