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Finding the Fourth Proportional to 7,647.32, 11,467.46 and 3,027.16

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Solution

The fourth proportional to 7,647.32, 11,467.46 and 3,027.16 is: 4,539.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.32 : 11,467.46 = 3,027.16 : x
  2. Step 2: Convert to fraction form
    7,647.32/11,467.46 = 3,027.16/x
  3. Step 3: Cross multiply
    7,647.32x = 11,467.46 × 3,027.16
  4. Step 4: Simplify right side
    7,647.32x = 34,713,836.21
  5. Step 5: Solve for x
    x = 34,713,836.21/7,647.32
  6. Step 6: Final answer
    x = 4,539.35

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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.