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Finding the Fourth Proportional to 7,451.68, 11,177.50 and 1,905.04

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Solution

The fourth proportional to 7,451.68, 11,177.50 and 1,905.04 is: 2,857.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,451.68 : 11,177.50 = 1,905.04 : x
  2. Step 2: Convert to fraction form
    7,451.68/11,177.50 = 1,905.04/x
  3. Step 3: Cross multiply
    7,451.68x = 11,177.50 × 1,905.04
  4. Step 4: Simplify right side
    7,451.68x = 21,293,584.60
  5. Step 5: Solve for x
    x = 21,293,584.60/7,451.68
  6. Step 6: Final answer
    x = 2,857.55

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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.