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Finding the Fourth Proportional to 11,579.48, 17,359.46 and 7,871.30

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Solution

The fourth proportional to 11,579.48, 17,359.46 and 7,871.30 is: 11,800.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,579.48 : 17,359.46 = 7,871.30 : x
  2. Step 2: Convert to fraction form
    11,579.48/17,359.46 = 7,871.30/x
  3. Step 3: Cross multiply
    11,579.48x = 17,359.46 × 7,871.30
  4. Step 4: Simplify right side
    11,579.48x = 136,641,517.50
  5. Step 5: Solve for x
    x = 136,641,517.50/11,579.48
  6. Step 6: Final answer
    x = 11,800.32

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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.