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Finding the Fourth Proportional to 27,898.16, 41,846.04 and 7,121.20

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Solution

The fourth proportional to 27,898.16, 41,846.04 and 7,121.20 is: 10,681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,898.16 : 41,846.04 = 7,121.20 : x
  2. Step 2: Convert to fraction form
    27,898.16/41,846.04 = 7,121.20/x
  3. Step 3: Cross multiply
    27,898.16x = 41,846.04 × 7,121.20
  4. Step 4: Simplify right side
    27,898.16x = 297,994,020.05
  5. Step 5: Solve for x
    x = 297,994,020.05/27,898.16
  6. Step 6: Final answer
    x = 10,681.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.