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Finding the Fourth Proportional to 27,872.40, 41,808.96 and 7,095.36

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Solution

The fourth proportional to 27,872.40, 41,808.96 and 7,095.36 is: 10,643.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.40 : 41,808.96 = 7,095.36 : x
  2. Step 2: Convert to fraction form
    27,872.40/41,808.96 = 7,095.36/x
  3. Step 3: Cross multiply
    27,872.40x = 41,808.96 × 7,095.36
  4. Step 4: Simplify right side
    27,872.40x = 296,649,622.43
  5. Step 5: Solve for x
    x = 296,649,622.43/27,872.40
  6. Step 6: Final answer
    x = 10,643.13

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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.