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Finding the Fourth Proportional to 11,756.34, 17,634.65 and 2,991.26

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Solution

The fourth proportional to 11,756.34, 17,634.65 and 2,991.26 is: 4,486.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.34 : 17,634.65 = 2,991.26 : x
  2. Step 2: Convert to fraction form
    11,756.34/17,634.65 = 2,991.26/x
  3. Step 3: Cross multiply
    11,756.34x = 17,634.65 × 2,991.26
  4. Step 4: Simplify right side
    11,756.34x = 52,749,852.29
  5. Step 5: Solve for x
    x = 52,749,852.29/11,756.34
  6. Step 6: Final answer
    x = 4,486.93

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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.