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Finding the Fourth Proportional to 11,337.85, 17,003.94 and 4,768.75

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Solution

The fourth proportional to 11,337.85, 17,003.94 and 4,768.75 is: 7,151.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337.85 : 17,003.94 = 4,768.75 : x
  2. Step 2: Convert to fraction form
    11,337.85/17,003.94 = 4,768.75/x
  3. Step 3: Cross multiply
    11,337.85x = 17,003.94 × 4,768.75
  4. Step 4: Simplify right side
    11,337.85x = 81,087,538.88
  5. Step 5: Solve for x
    x = 81,087,538.88/11,337.85
  6. Step 6: Final answer
    x = 7,151.93

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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.