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Finding the Fourth Proportional to 8,536, 12,804.14 and 2,380

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Solution

The fourth proportional to 8,536, 12,804.14 and 2,380 is: 3,570.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536 : 12,804.14 = 2,380 : x
  2. Step 2: Convert to fraction form
    8,536/12,804.14 = 2,380/x
  3. Step 3: Cross multiply
    8,536x = 12,804.14 × 2,380
  4. Step 4: Simplify right side
    8,536x = 30,473,853.20
  5. Step 5: Solve for x
    x = 30,473,853.20/8,536
  6. Step 6: Final answer
    x = 3,570.04

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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.