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Finding the Fourth Proportional to 7,914.68, 11,874.12 and 2,368.04

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Solution

The fourth proportional to 7,914.68, 11,874.12 and 2,368.04 is: 3,552.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.68 : 11,874.12 = 2,368.04 : x
  2. Step 2: Convert to fraction form
    7,914.68/11,874.12 = 2,368.04/x
  3. Step 3: Cross multiply
    7,914.68x = 11,874.12 × 2,368.04
  4. Step 4: Simplify right side
    7,914.68x = 28,118,391.12
  5. Step 5: Solve for x
    x = 28,118,391.12/7,914.68
  6. Step 6: Final answer
    x = 3,552.69

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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.