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Finding the Fourth Proportional to 11,674, 16,110.12 and 7,482.25

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Solution

The fourth proportional to 11,674, 16,110.12 and 7,482.25 is: 10,325.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674 : 16,110.12 = 7,482.25 : x
  2. Step 2: Convert to fraction form
    11,674/16,110.12 = 7,482.25/x
  3. Step 3: Cross multiply
    11,674x = 16,110.12 × 7,482.25
  4. Step 4: Simplify right side
    11,674x = 120,539,945.37
  5. Step 5: Solve for x
    x = 120,539,945.37/11,674
  6. Step 6: Final answer
    x = 10,325.51

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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.