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Finding the Fourth Proportional to 11,649.20, 17,476.52 and 3,858

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Solution

The fourth proportional to 11,649.20, 17,476.52 and 3,858 is: 5,787.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.20 : 17,476.52 = 3,858 : x
  2. Step 2: Convert to fraction form
    11,649.20/17,476.52 = 3,858/x
  3. Step 3: Cross multiply
    11,649.20x = 17,476.52 × 3,858
  4. Step 4: Simplify right side
    11,649.20x = 67,424,394.87
  5. Step 5: Solve for x
    x = 67,424,394.87/11,649.20
  6. Step 6: Final answer
    x = 5,787.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.