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Finding the Fourth Proportional to 7,874.14, 11,810.19 and 2,328.07

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Solution

The fourth proportional to 7,874.14, 11,810.19 and 2,328.07 is: 3,491.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.14 : 11,810.19 = 2,328.07 : x
  2. Step 2: Convert to fraction form
    7,874.14/11,810.19 = 2,328.07/x
  3. Step 3: Cross multiply
    7,874.14x = 11,810.19 × 2,328.07
  4. Step 4: Simplify right side
    7,874.14x = 27,494,949.03
  5. Step 5: Solve for x
    x = 27,494,949.03/7,874.14
  6. Step 6: Final answer
    x = 3,491.80

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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.