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Finding the Fourth Proportional to 10,667.80, 15,970.02 and 7,906.60

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Solution

The fourth proportional to 10,667.80, 15,970.02 and 7,906.60 is: 11,836.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.80 : 15,970.02 = 7,906.60 : x
  2. Step 2: Convert to fraction form
    10,667.80/15,970.02 = 7,906.60/x
  3. Step 3: Cross multiply
    10,667.80x = 15,970.02 × 7,906.60
  4. Step 4: Simplify right side
    10,667.80x = 126,268,560.13
  5. Step 5: Solve for x
    x = 126,268,560.13/10,667.80
  6. Step 6: Final answer
    x = 11,836.42

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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.