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Finding the Fourth Proportional to 7,542.84, 11,315.85 and 2,277.39

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Solution

The fourth proportional to 7,542.84, 11,315.85 and 2,277.39 is: 3,416.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.84 : 11,315.85 = 2,277.39 : x
  2. Step 2: Convert to fraction form
    7,542.84/11,315.85 = 2,277.39/x
  3. Step 3: Cross multiply
    7,542.84x = 11,315.85 × 2,277.39
  4. Step 4: Simplify right side
    7,542.84x = 25,770,603.63
  5. Step 5: Solve for x
    x = 25,770,603.63/7,542.84
  6. Step 6: Final answer
    x = 3,416.57

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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.