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Finding the Fourth Proportional to 10,576.98, 14,563.02 and 8,980.29

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Solution

The fourth proportional to 10,576.98, 14,563.02 and 8,980.29 is: 12,364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.98 : 14,563.02 = 8,980.29 : x
  2. Step 2: Convert to fraction form
    10,576.98/14,563.02 = 8,980.29/x
  3. Step 3: Cross multiply
    10,576.98x = 14,563.02 × 8,980.29
  4. Step 4: Simplify right side
    10,576.98x = 130,780,142.88
  5. Step 5: Solve for x
    x = 130,780,142.88/10,576.98
  6. Step 6: Final answer
    x = 12,364.60

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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.