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Finding the Fourth Proportional to 8,076.69, 11,146 and 4,540.13

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Solution

The fourth proportional to 8,076.69, 11,146 and 4,540.13 is: 6,265.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076.69 : 11,146 = 4,540.13 : x
  2. Step 2: Convert to fraction form
    8,076.69/11,146 = 4,540.13/x
  3. Step 3: Cross multiply
    8,076.69x = 11,146 × 4,540.13
  4. Step 4: Simplify right side
    8,076.69x = 50,604,288.98
  5. Step 5: Solve for x
    x = 50,604,288.98/8,076.69
  6. Step 6: Final answer
    x = 6,265.47

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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.