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Finding the Fourth Proportional to 11,841, 17,756.32 and 6,293.01

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Solution

The fourth proportional to 11,841, 17,756.32 and 6,293.01 is: 9,436.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841 : 17,756.32 = 6,293.01 : x
  2. Step 2: Convert to fraction form
    11,841/17,756.32 = 6,293.01/x
  3. Step 3: Cross multiply
    11,841x = 17,756.32 × 6,293.01
  4. Step 4: Simplify right side
    11,841x = 111,740,699.32
  5. Step 5: Solve for x
    x = 111,740,699.32/11,841
  6. Step 6: Final answer
    x = 9,436.76

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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.