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Finding the Fourth Proportional to 7,578.40, 11,368.32 and 3,196.24

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Solution

The fourth proportional to 7,578.40, 11,368.32 and 3,196.24 is: 4,794.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.40 : 11,368.32 = 3,196.24 : x
  2. Step 2: Convert to fraction form
    7,578.40/11,368.32 = 3,196.24/x
  3. Step 3: Cross multiply
    7,578.40x = 11,368.32 × 3,196.24
  4. Step 4: Simplify right side
    7,578.40x = 36,335,879.12
  5. Step 5: Solve for x
    x = 36,335,879.12/7,578.40
  6. Step 6: Final answer
    x = 4,794.66

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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.