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Finding the Fourth Proportional to 7,853.63, 11,777.45 and 3,468.69

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Solution

The fourth proportional to 7,853.63, 11,777.45 and 3,468.69 is: 5,201.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.63 : 11,777.45 = 3,468.69 : x
  2. Step 2: Convert to fraction form
    7,853.63/11,777.45 = 3,468.69/x
  3. Step 3: Cross multiply
    7,853.63x = 11,777.45 × 3,468.69
  4. Step 4: Simplify right side
    7,853.63x = 40,852,305.70
  5. Step 5: Solve for x
    x = 40,852,305.70/7,853.63
  6. Step 6: Final answer
    x = 5,201.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.