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Finding the Fourth Proportional to 8,052.59, 12,078.50 and 2,505.80

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Solution

The fourth proportional to 8,052.59, 12,078.50 and 2,505.80 is: 3,758.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052.59 : 12,078.50 = 2,505.80 : x
  2. Step 2: Convert to fraction form
    8,052.59/12,078.50 = 2,505.80/x
  3. Step 3: Cross multiply
    8,052.59x = 12,078.50 × 2,505.80
  4. Step 4: Simplify right side
    8,052.59x = 30,266,232.38
  5. Step 5: Solve for x
    x = 30,266,232.38/8,052.59
  6. Step 6: Final answer
    x = 3,758.57

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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.