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Finding the Fourth Proportional to 11,648.74, 17,476 and 3,858.34

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Solution

The fourth proportional to 11,648.74, 17,476 and 3,858.34 is: 5,788.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.74 : 17,476 = 3,858.34 : x
  2. Step 2: Convert to fraction form
    11,648.74/17,476 = 3,858.34/x
  3. Step 3: Cross multiply
    11,648.74x = 17,476 × 3,858.34
  4. Step 4: Simplify right side
    11,648.74x = 67,428,349.84
  5. Step 5: Solve for x
    x = 67,428,349.84/11,648.74
  6. Step 6: Final answer
    x = 5,788.47

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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.