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Finding the Fourth Proportional to 12,710.76, 17,540.82 and 7,045.80

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Solution

The fourth proportional to 12,710.76, 17,540.82 and 7,045.80 is: 9,723.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710.76 : 17,540.82 = 7,045.80 : x
  2. Step 2: Convert to fraction form
    12,710.76/17,540.82 = 7,045.80/x
  3. Step 3: Cross multiply
    12,710.76x = 17,540.82 × 7,045.80
  4. Step 4: Simplify right side
    12,710.76x = 123,589,109.56
  5. Step 5: Solve for x
    x = 123,589,109.56/12,710.76
  6. Step 6: Final answer
    x = 9,723.19

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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.