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Finding the Fourth Proportional to 27,534.40, 41,303.17 and 7,811.41

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Solution

The fourth proportional to 27,534.40, 41,303.17 and 7,811.41 is: 11,717.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,534.40 : 41,303.17 = 7,811.41 : x
  2. Step 2: Convert to fraction form
    27,534.40/41,303.17 = 7,811.41/x
  3. Step 3: Cross multiply
    27,534.40x = 41,303.17 × 7,811.41
  4. Step 4: Simplify right side
    27,534.40x = 322,635,995.17
  5. Step 5: Solve for x
    x = 322,635,995.17/27,534.40
  6. Step 6: Final answer
    x = 11,717.56

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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.