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Finding the Fourth Proportional to 7,868, 11,802.08 and 2,396

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Solution

The fourth proportional to 7,868, 11,802.08 and 2,396 is: 3,594.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868 : 11,802.08 = 2,396 : x
  2. Step 2: Convert to fraction form
    7,868/11,802.08 = 2,396/x
  3. Step 3: Cross multiply
    7,868x = 11,802.08 × 2,396
  4. Step 4: Simplify right side
    7,868x = 28,277,783.68
  5. Step 5: Solve for x
    x = 28,277,783.68/7,868
  6. Step 6: Final answer
    x = 3,594.02

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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.