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Finding the Fourth Proportional to 11,648.88, 17,457.69 and 6,375.95

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Solution

The fourth proportional to 11,648.88, 17,457.69 and 6,375.95 is: 9,555.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.88 : 17,457.69 = 6,375.95 : x
  2. Step 2: Convert to fraction form
    11,648.88/17,457.69 = 6,375.95/x
  3. Step 3: Cross multiply
    11,648.88x = 17,457.69 × 6,375.95
  4. Step 4: Simplify right side
    11,648.88x = 111,309,360.64
  5. Step 5: Solve for x
    x = 111,309,360.64/11,648.88
  6. Step 6: Final answer
    x = 9,555.37

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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.