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Finding the Fourth Proportional to 8,321.40, 12,474 and 3,054.92

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Solution

The fourth proportional to 8,321.40, 12,474 and 3,054.92 is: 4,579.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.40 : 12,474 = 3,054.92 : x
  2. Step 2: Convert to fraction form
    8,321.40/12,474 = 3,054.92/x
  3. Step 3: Cross multiply
    8,321.40x = 12,474 × 3,054.92
  4. Step 4: Simplify right side
    8,321.40x = 38,107,009.71
  5. Step 5: Solve for x
    x = 38,107,009.71/8,321.40
  6. Step 6: Final answer
    x = 4,579.40

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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.