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Finding the Fourth Proportional to 12,680.67, 17,488.60 and 7,643.79

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Solution

The fourth proportional to 12,680.67, 17,488.60 and 7,643.79 is: 10,541.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,680.67 : 17,488.60 = 7,643.79 : x
  2. Step 2: Convert to fraction form
    12,680.67/17,488.60 = 7,643.79/x
  3. Step 3: Cross multiply
    12,680.67x = 17,488.60 × 7,643.79
  4. Step 4: Simplify right side
    12,680.67x = 133,679,205.12
  5. Step 5: Solve for x
    x = 133,679,205.12/12,680.67
  6. Step 6: Final answer
    x = 10,541.97

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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.