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Finding the Fourth Proportional to 7,860.64, 11,765.32 and 5,780.12

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Solution

The fourth proportional to 7,860.64, 11,765.32 and 5,780.12 is: 8,651.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.64 : 11,765.32 = 5,780.12 : x
  2. Step 2: Convert to fraction form
    7,860.64/11,765.32 = 5,780.12/x
  3. Step 3: Cross multiply
    7,860.64x = 11,765.32 × 5,780.12
  4. Step 4: Simplify right side
    7,860.64x = 68,004,961.44
  5. Step 5: Solve for x
    x = 68,004,961.44/7,860.64
  6. Step 6: Final answer
    x = 8,651.33

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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.