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Finding the Fourth Proportional to 8,463.40, 12,698.13 and 3,783.02

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Solution

The fourth proportional to 8,463.40, 12,698.13 and 3,783.02 is: 5,675.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.40 : 12,698.13 = 3,783.02 : x
  2. Step 2: Convert to fraction form
    8,463.40/12,698.13 = 3,783.02/x
  3. Step 3: Cross multiply
    8,463.40x = 12,698.13 × 3,783.02
  4. Step 4: Simplify right side
    8,463.40x = 48,037,230.45
  5. Step 5: Solve for x
    x = 48,037,230.45/8,463.40
  6. Step 6: Final answer
    x = 5,675.88

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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.