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Finding the Fourth Proportional to 27,349.91, 41,031.80 and 7,628.47

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Solution

The fourth proportional to 27,349.91, 41,031.80 and 7,628.47 is: 11,444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,349.91 : 41,031.80 = 7,628.47 : x
  2. Step 2: Convert to fraction form
    27,349.91/41,031.80 = 7,628.47/x
  3. Step 3: Cross multiply
    27,349.91x = 41,031.80 × 7,628.47
  4. Step 4: Simplify right side
    27,349.91x = 313,009,743.23
  5. Step 5: Solve for x
    x = 313,009,743.23/27,349.91
  6. Step 6: Final answer
    x = 11,444.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.