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Finding the Fourth Proportional to 7,563.84, 11,335.36 and 5,713.44

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Solution

The fourth proportional to 7,563.84, 11,335.36 and 5,713.44 is: 8,562.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.84 : 11,335.36 = 5,713.44 : x
  2. Step 2: Convert to fraction form
    7,563.84/11,335.36 = 5,713.44/x
  3. Step 3: Cross multiply
    7,563.84x = 11,335.36 × 5,713.44
  4. Step 4: Simplify right side
    7,563.84x = 64,763,899.24
  5. Step 5: Solve for x
    x = 64,763,899.24/7,563.84
  6. Step 6: Final answer
    x = 8,562.30

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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.