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Finding the Fourth Proportional to 27,375.90, 41,065.43 and 7,654.39

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Solution

The fourth proportional to 27,375.90, 41,065.43 and 7,654.39 is: 11,482.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,375.90 : 41,065.43 = 7,654.39 : x
  2. Step 2: Convert to fraction form
    27,375.90/41,065.43 = 7,654.39/x
  3. Step 3: Cross multiply
    27,375.90x = 41,065.43 × 7,654.39
  4. Step 4: Simplify right side
    27,375.90x = 314,330,816.74
  5. Step 5: Solve for x
    x = 314,330,816.74/27,375.90
  6. Step 6: Final answer
    x = 11,482.03

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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.