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Finding the Fourth Proportional to 11,774.45, 16,247.84 and 7,057.82

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Solution

The fourth proportional to 11,774.45, 16,247.84 and 7,057.82 is: 9,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.45 : 16,247.84 = 7,057.82 : x
  2. Step 2: Convert to fraction form
    11,774.45/16,247.84 = 7,057.82/x
  3. Step 3: Cross multiply
    11,774.45x = 16,247.84 × 7,057.82
  4. Step 4: Simplify right side
    11,774.45x = 114,674,213.58
  5. Step 5: Solve for x
    x = 114,674,213.58/11,774.45
  6. Step 6: Final answer
    x = 9,739.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.