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Finding the Fourth Proportional to 27,594.44, 41,393.02 and 7,875.90

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Solution

The fourth proportional to 27,594.44, 41,393.02 and 7,875.90 is: 11,814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,594.44 : 41,393.02 = 7,875.90 : x
  2. Step 2: Convert to fraction form
    27,594.44/41,393.02 = 7,875.90/x
  3. Step 3: Cross multiply
    27,594.44x = 41,393.02 × 7,875.90
  4. Step 4: Simplify right side
    27,594.44x = 326,007,286.22
  5. Step 5: Solve for x
    x = 326,007,286.22/27,594.44
  6. Step 6: Final answer
    x = 11,814.24

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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.