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Finding the Fourth Proportional to 7,914.98, 11,874.85 and 2,368.51

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Solution

The fourth proportional to 7,914.98, 11,874.85 and 2,368.51 is: 3,553.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.98 : 11,874.85 = 2,368.51 : x
  2. Step 2: Convert to fraction form
    7,914.98/11,874.85 = 2,368.51/x
  3. Step 3: Cross multiply
    7,914.98x = 11,874.85 × 2,368.51
  4. Step 4: Simplify right side
    7,914.98x = 28,125,665.37
  5. Step 5: Solve for x
    x = 28,125,665.37/7,914.98
  6. Step 6: Final answer
    x = 3,553.47

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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.