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Finding the Fourth Proportional to 10,584.48, 15,884.04 and 3,659.04

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Solution

The fourth proportional to 10,584.48, 15,884.04 and 3,659.04 is: 5,491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.48 : 15,884.04 = 3,659.04 : x
  2. Step 2: Convert to fraction form
    10,584.48/15,884.04 = 3,659.04/x
  3. Step 3: Cross multiply
    10,584.48x = 15,884.04 × 3,659.04
  4. Step 4: Simplify right side
    10,584.48x = 58,120,337.72
  5. Step 5: Solve for x
    x = 58,120,337.72/10,584.48
  6. Step 6: Final answer
    x = 5,491.09

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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.