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Finding the Fourth Proportional to 27,787, 41,674.14 and 8,061.16

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Solution

The fourth proportional to 27,787, 41,674.14 and 8,061.16 is: 12,089.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,787 : 41,674.14 = 8,061.16 : x
  2. Step 2: Convert to fraction form
    27,787/41,674.14 = 8,061.16/x
  3. Step 3: Cross multiply
    27,787x = 41,674.14 × 8,061.16
  4. Step 4: Simplify right side
    27,787x = 335,941,910.40
  5. Step 5: Solve for x
    x = 335,941,910.40/27,787
  6. Step 6: Final answer
    x = 12,089.89

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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.