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Finding the Fourth Proportional to 11,763.06, 17,628 and 6,500.44

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Solution

The fourth proportional to 11,763.06, 17,628 and 6,500.44 is: 9,741.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.06 : 17,628 = 6,500.44 : x
  2. Step 2: Convert to fraction form
    11,763.06/17,628 = 6,500.44/x
  3. Step 3: Cross multiply
    11,763.06x = 17,628 × 6,500.44
  4. Step 4: Simplify right side
    11,763.06x = 114,589,756.32
  5. Step 5: Solve for x
    x = 114,589,756.32/11,763.06
  6. Step 6: Final answer
    x = 9,741.49

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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.