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Finding the Fourth Proportional to 27,596.42, 41,396.16 and 7,873.40

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Solution

The fourth proportional to 27,596.42, 41,396.16 and 7,873.40 is: 11,810.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,596.42 : 41,396.16 = 7,873.40 : x
  2. Step 2: Convert to fraction form
    27,596.42/41,396.16 = 7,873.40/x
  3. Step 3: Cross multiply
    27,596.42x = 41,396.16 × 7,873.40
  4. Step 4: Simplify right side
    27,596.42x = 325,928,319.16
  5. Step 5: Solve for x
    x = 325,928,319.16/27,596.42
  6. Step 6: Final answer
    x = 11,810.53

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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.