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Finding the Fourth Proportional to 7,694.44, 11,563.30 and 4,575.00

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Solution

The fourth proportional to 7,694.44, 11,563.30 and 4,575.00 is: 6,875.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.44 : 11,563.30 = 4,575.00 : x
  2. Step 2: Convert to fraction form
    7,694.44/11,563.30 = 4,575.00/x
  3. Step 3: Cross multiply
    7,694.44x = 11,563.30 × 4,575.00
  4. Step 4: Simplify right side
    7,694.44x = 52,902,155.16
  5. Step 5: Solve for x
    x = 52,902,155.16/7,694.44
  6. Step 6: Final answer
    x = 6,875.37

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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.