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Finding the Fourth Proportional to 7,565.36, 11,336.48 and 3,180.44

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Solution

The fourth proportional to 7,565.36, 11,336.48 and 3,180.44 is: 4,765.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.36 : 11,336.48 = 3,180.44 : x
  2. Step 2: Convert to fraction form
    7,565.36/11,336.48 = 3,180.44/x
  3. Step 3: Cross multiply
    7,565.36x = 11,336.48 × 3,180.44
  4. Step 4: Simplify right side
    7,565.36x = 36,054,994.45
  5. Step 5: Solve for x
    x = 36,054,994.45/7,565.36
  6. Step 6: Final answer
    x = 4,765.80

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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.