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Finding the Fourth Proportional to 7,660.56, 10,563.30 and 6,989.88

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Solution

The fourth proportional to 7,660.56, 10,563.30 and 6,989.88 is: 9,638.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.56 : 10,563.30 = 6,989.88 : x
  2. Step 2: Convert to fraction form
    7,660.56/10,563.30 = 6,989.88/x
  3. Step 3: Cross multiply
    7,660.56x = 10,563.30 × 6,989.88
  4. Step 4: Simplify right side
    7,660.56x = 73,836,199.40
  5. Step 5: Solve for x
    x = 73,836,199.40/7,660.56
  6. Step 6: Final answer
    x = 9,638.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.