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Finding the Fourth Proportional to 7,783.68, 11,669.00 and 3,397.80

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Solution

The fourth proportional to 7,783.68, 11,669.00 and 3,397.80 is: 5,093.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.68 : 11,669.00 = 3,397.80 : x
  2. Step 2: Convert to fraction form
    7,783.68/11,669.00 = 3,397.80/x
  3. Step 3: Cross multiply
    7,783.68x = 11,669.00 × 3,397.80
  4. Step 4: Simplify right side
    7,783.68x = 39,648,911.21
  5. Step 5: Solve for x
    x = 39,648,911.21/7,783.68
  6. Step 6: Final answer
    x = 5,093.85

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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.