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Finding the Fourth Proportional to 7,914.96, 11,873.10 and 2,367.90

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Solution

The fourth proportional to 7,914.96, 11,873.10 and 2,367.90 is: 3,552.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.96 : 11,873.10 = 2,367.90 : x
  2. Step 2: Convert to fraction form
    7,914.96/11,873.10 = 2,367.90/x
  3. Step 3: Cross multiply
    7,914.96x = 11,873.10 × 2,367.90
  4. Step 4: Simplify right side
    7,914.96x = 28,114,313.49
  5. Step 5: Solve for x
    x = 28,114,313.49/7,914.96
  6. Step 6: Final answer
    x = 3,552.05

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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.