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Finding the Fourth Proportional to 11,956.14, 17,914.77 and 7,030.26

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Solution

The fourth proportional to 11,956.14, 17,914.77 and 7,030.26 is: 10,533.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,956.14 : 17,914.77 = 7,030.26 : x
  2. Step 2: Convert to fraction form
    11,956.14/17,914.77 = 7,030.26/x
  3. Step 3: Cross multiply
    11,956.14x = 17,914.77 × 7,030.26
  4. Step 4: Simplify right side
    11,956.14x = 125,945,490.94
  5. Step 5: Solve for x
    x = 125,945,490.94/11,956.14
  6. Step 6: Final answer
    x = 10,533.96

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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.