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Finding the Fourth Proportional to 27,541, 41,313.06 and 7,818

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Solution

The fourth proportional to 27,541, 41,313.06 and 7,818 is: 11,727.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,541 : 41,313.06 = 7,818 : x
  2. Step 2: Convert to fraction form
    27,541/41,313.06 = 7,818/x
  3. Step 3: Cross multiply
    27,541x = 41,313.06 × 7,818
  4. Step 4: Simplify right side
    27,541x = 322,985,503.08
  5. Step 5: Solve for x
    x = 322,985,503.08/27,541
  6. Step 6: Final answer
    x = 11,727.44

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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.