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Finding the Fourth Proportional to 8,052, 12,084.54 and 4,157.52

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Solution

The fourth proportional to 8,052, 12,084.54 and 4,157.52 is: 6,239.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052 : 12,084.54 = 4,157.52 : x
  2. Step 2: Convert to fraction form
    8,052/12,084.54 = 4,157.52/x
  3. Step 3: Cross multiply
    8,052x = 12,084.54 × 4,157.52
  4. Step 4: Simplify right side
    8,052x = 50,241,716.74
  5. Step 5: Solve for x
    x = 50,241,716.74/8,052
  6. Step 6: Final answer
    x = 6,239.66

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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.