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Finding the Fourth Proportional to 7,400.24, 11,093.88 and 2,780

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Solution

The fourth proportional to 7,400.24, 11,093.88 and 2,780 is: 4,167.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,400.24 : 11,093.88 = 2,780 : x
  2. Step 2: Convert to fraction form
    7,400.24/11,093.88 = 2,780/x
  3. Step 3: Cross multiply
    7,400.24x = 11,093.88 × 2,780
  4. Step 4: Simplify right side
    7,400.24x = 30,840,986.40
  5. Step 5: Solve for x
    x = 30,840,986.40/7,400.24
  6. Step 6: Final answer
    x = 4,167.57

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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.