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Finding the Fourth Proportional to 11,774.18, 16,241.61 and 7,350.50

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Solution

The fourth proportional to 11,774.18, 16,241.61 and 7,350.50 is: 10,139.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.18 : 16,241.61 = 7,350.50 : x
  2. Step 2: Convert to fraction form
    11,774.18/16,241.61 = 7,350.50/x
  3. Step 3: Cross multiply
    11,774.18x = 16,241.61 × 7,350.50
  4. Step 4: Simplify right side
    11,774.18x = 119,383,954.31
  5. Step 5: Solve for x
    x = 119,383,954.31/11,774.18
  6. Step 6: Final answer
    x = 10,139.47

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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.