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Finding the Fourth Proportional to 11,503.76, 17,288.46 and 5,664.44

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Solution

The fourth proportional to 11,503.76, 17,288.46 and 5,664.44 is: 8,512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.76 : 17,288.46 = 5,664.44 : x
  2. Step 2: Convert to fraction form
    11,503.76/17,288.46 = 5,664.44/x
  3. Step 3: Cross multiply
    11,503.76x = 17,288.46 × 5,664.44
  4. Step 4: Simplify right side
    11,503.76x = 97,929,444.36
  5. Step 5: Solve for x
    x = 97,929,444.36/11,503.76
  6. Step 6: Final answer
    x = 8,512.82

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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.