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Finding the Fourth Proportional to 7,878.29, 11,819.32 and 2,256.04

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Solution

The fourth proportional to 7,878.29, 11,819.32 and 2,256.04 is: 3,384.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.29 : 11,819.32 = 2,256.04 : x
  2. Step 2: Convert to fraction form
    7,878.29/11,819.32 = 2,256.04/x
  3. Step 3: Cross multiply
    7,878.29x = 11,819.32 × 2,256.04
  4. Step 4: Simplify right side
    7,878.29x = 26,664,823.50
  5. Step 5: Solve for x
    x = 26,664,823.50/7,878.29
  6. Step 6: Final answer
    x = 3,384.60

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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.