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Finding the Fourth Proportional to 27,591.94, 41,389.27 and 7,873.40

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Solution

The fourth proportional to 27,591.94, 41,389.27 and 7,873.40 is: 11,810.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,591.94 : 41,389.27 = 7,873.40 : x
  2. Step 2: Convert to fraction form
    27,591.94/41,389.27 = 7,873.40/x
  3. Step 3: Cross multiply
    27,591.94x = 41,389.27 × 7,873.40
  4. Step 4: Simplify right side
    27,591.94x = 325,874,071.47
  5. Step 5: Solve for x
    x = 325,874,071.47/27,591.94
  6. Step 6: Final answer
    x = 11,810.48

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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.