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Finding the Fourth Proportional to 7,869.63, 11,793.69 and 4,354.41

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Solution

The fourth proportional to 7,869.63, 11,793.69 and 4,354.41 is: 6,525.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.63 : 11,793.69 = 4,354.41 : x
  2. Step 2: Convert to fraction form
    7,869.63/11,793.69 = 4,354.41/x
  3. Step 3: Cross multiply
    7,869.63x = 11,793.69 × 4,354.41
  4. Step 4: Simplify right side
    7,869.63x = 51,354,561.67
  5. Step 5: Solve for x
    x = 51,354,561.67/7,869.63
  6. Step 6: Final answer
    x = 6,525.66

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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.