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Finding the Fourth Proportional to 8,199.80, 12,300.08 and 2,356.28

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Solution

The fourth proportional to 8,199.80, 12,300.08 and 2,356.28 is: 3,534.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.80 : 12,300.08 = 2,356.28 : x
  2. Step 2: Convert to fraction form
    8,199.80/12,300.08 = 2,356.28/x
  3. Step 3: Cross multiply
    8,199.80x = 12,300.08 × 2,356.28
  4. Step 4: Simplify right side
    8,199.80x = 28,982,432.50
  5. Step 5: Solve for x
    x = 28,982,432.50/8,199.80
  6. Step 6: Final answer
    x = 3,534.53

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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.