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Finding the Fourth Proportional to 11,241, 15,512.64 and 6,273

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Solution

The fourth proportional to 11,241, 15,512.64 and 6,273 is: 8,656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,241 : 15,512.64 = 6,273 : x
  2. Step 2: Convert to fraction form
    11,241/15,512.64 = 6,273/x
  3. Step 3: Cross multiply
    11,241x = 15,512.64 × 6,273
  4. Step 4: Simplify right side
    11,241x = 97,310,790.72
  5. Step 5: Solve for x
    x = 97,310,790.72/11,241
  6. Step 6: Final answer
    x = 8,656.77

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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.