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Finding the Fourth Proportional to 7,855.63, 11,780.45 and 3,470.69

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Solution

The fourth proportional to 7,855.63, 11,780.45 and 3,470.69 is: 5,204.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.63 : 11,780.45 = 3,470.69 : x
  2. Step 2: Convert to fraction form
    7,855.63/11,780.45 = 3,470.69/x
  3. Step 3: Cross multiply
    7,855.63x = 11,780.45 × 3,470.69
  4. Step 4: Simplify right side
    7,855.63x = 40,886,272.66
  5. Step 5: Solve for x
    x = 40,886,272.66/7,855.63
  6. Step 6: Final answer
    x = 5,204.71

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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.