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Finding the Fourth Proportional to 7,563.28, 11,346.12 and 4,644.84

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Solution

The fourth proportional to 7,563.28, 11,346.12 and 4,644.84 is: 6,968.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.28 : 11,346.12 = 4,644.84 : x
  2. Step 2: Convert to fraction form
    7,563.28/11,346.12 = 4,644.84/x
  3. Step 3: Cross multiply
    7,563.28x = 11,346.12 × 4,644.84
  4. Step 4: Simplify right side
    7,563.28x = 52,700,912.02
  5. Step 5: Solve for x
    x = 52,700,912.02/7,563.28
  6. Step 6: Final answer
    x = 6,968.00

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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.