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Finding the Fourth Proportional to 7,578.98, 11,364.36 and 4,073.18

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Solution

The fourth proportional to 7,578.98, 11,364.36 and 4,073.18 is: 6,107.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.98 : 11,364.36 = 4,073.18 : x
  2. Step 2: Convert to fraction form
    7,578.98/11,364.36 = 4,073.18/x
  3. Step 3: Cross multiply
    7,578.98x = 11,364.36 × 4,073.18
  4. Step 4: Simplify right side
    7,578.98x = 46,289,083.86
  5. Step 5: Solve for x
    x = 46,289,083.86/7,578.98
  6. Step 6: Final answer
    x = 6,107.56

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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.