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Finding the Fourth Proportional to 11,893.54, 17,833.62 and 4,871.62

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Solution

The fourth proportional to 11,893.54, 17,833.62 and 4,871.62 is: 7,304.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.54 : 17,833.62 = 4,871.62 : x
  2. Step 2: Convert to fraction form
    11,893.54/17,833.62 = 4,871.62/x
  3. Step 3: Cross multiply
    11,893.54x = 17,833.62 × 4,871.62
  4. Step 4: Simplify right side
    11,893.54x = 86,878,619.86
  5. Step 5: Solve for x
    x = 86,878,619.86/11,893.54
  6. Step 6: Final answer
    x = 7,304.69

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Why These Related Problems?

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