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Finding the Fourth Proportional to 27,786, 41,672.64 and 8,060.16

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Solution

The fourth proportional to 27,786, 41,672.64 and 8,060.16 is: 12,088.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,786 : 41,672.64 = 8,060.16 : x
  2. Step 2: Convert to fraction form
    27,786/41,672.64 = 8,060.16/x
  3. Step 3: Cross multiply
    27,786x = 41,672.64 × 8,060.16
  4. Step 4: Simplify right side
    27,786x = 335,888,146.02
  5. Step 5: Solve for x
    x = 335,888,146.02/27,786
  6. Step 6: Final answer
    x = 12,088.40

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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.