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Finding the Fourth Proportional to 8,538, 12,809.16 and 2,382

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Solution

The fourth proportional to 8,538, 12,809.16 and 2,382 is: 3,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538 : 12,809.16 = 2,382 : x
  2. Step 2: Convert to fraction form
    8,538/12,809.16 = 2,382/x
  3. Step 3: Cross multiply
    8,538x = 12,809.16 × 2,382
  4. Step 4: Simplify right side
    8,538x = 30,511,419.12
  5. Step 5: Solve for x
    x = 30,511,419.12/8,538
  6. Step 6: Final answer
    x = 3,573.60

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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.