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Finding the Fourth Proportional to 11,350.40, 17,022.50 and 7,184.14

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Solution

The fourth proportional to 11,350.40, 17,022.50 and 7,184.14 is: 10,774.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,350.40 : 17,022.50 = 7,184.14 : x
  2. Step 2: Convert to fraction form
    11,350.40/17,022.50 = 7,184.14/x
  3. Step 3: Cross multiply
    11,350.40x = 17,022.50 × 7,184.14
  4. Step 4: Simplify right side
    11,350.40x = 122,292,023.15
  5. Step 5: Solve for x
    x = 122,292,023.15/11,350.40
  6. Step 6: Final answer
    x = 10,774.25

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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.