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Finding the Fourth Proportional to 8,172.63, 11,284.02 and 6,382.13

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Solution

The fourth proportional to 8,172.63, 11,284.02 and 6,382.13 is: 8,811.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.63 : 11,284.02 = 6,382.13 : x
  2. Step 2: Convert to fraction form
    8,172.63/11,284.02 = 6,382.13/x
  3. Step 3: Cross multiply
    8,172.63x = 11,284.02 × 6,382.13
  4. Step 4: Simplify right side
    8,172.63x = 72,015,994.23
  5. Step 5: Solve for x
    x = 72,015,994.23/8,172.63
  6. Step 6: Final answer
    x = 8,811.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.