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Finding the Fourth Proportional to 11,752.35, 16,212.72 and 7,274.46

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Solution

The fourth proportional to 11,752.35, 16,212.72 and 7,274.46 is: 10,035.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.35 : 16,212.72 = 7,274.46 : x
  2. Step 2: Convert to fraction form
    11,752.35/16,212.72 = 7,274.46/x
  3. Step 3: Cross multiply
    11,752.35x = 16,212.72 × 7,274.46
  4. Step 4: Simplify right side
    11,752.35x = 117,938,783.13
  5. Step 5: Solve for x
    x = 117,938,783.13/11,752.35
  6. Step 6: Final answer
    x = 10,035.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.