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Finding the Fourth Proportional to 10,770.62, 14,858.88 and 6,576.44

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Solution

The fourth proportional to 10,770.62, 14,858.88 and 6,576.44 is: 9,072.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.62 : 14,858.88 = 6,576.44 : x
  2. Step 2: Convert to fraction form
    10,770.62/14,858.88 = 6,576.44/x
  3. Step 3: Cross multiply
    10,770.62x = 14,858.88 × 6,576.44
  4. Step 4: Simplify right side
    10,770.62x = 97,718,512.08
  5. Step 5: Solve for x
    x = 97,718,512.08/10,770.62
  6. Step 6: Final answer
    x = 9,072.69

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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.