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Finding the Fourth Proportional to 11,971.90, 17,933.28 and 7,026.58

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Solution

The fourth proportional to 11,971.90, 17,933.28 and 7,026.58 is: 10,525.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.90 : 17,933.28 = 7,026.58 : x
  2. Step 2: Convert to fraction form
    11,971.90/17,933.28 = 7,026.58/x
  3. Step 3: Cross multiply
    11,971.90x = 17,933.28 × 7,026.58
  4. Step 4: Simplify right side
    11,971.90x = 126,009,626.58
  5. Step 5: Solve for x
    x = 126,009,626.58/11,971.90
  6. Step 6: Final answer
    x = 10,525.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.