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Finding the Fourth Proportional to 8,472.64, 12,705.84 and 2,924.56

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Solution

The fourth proportional to 8,472.64, 12,705.84 and 2,924.56 is: 4,385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.64 : 12,705.84 = 2,924.56 : x
  2. Step 2: Convert to fraction form
    8,472.64/12,705.84 = 2,924.56/x
  3. Step 3: Cross multiply
    8,472.64x = 12,705.84 × 2,924.56
  4. Step 4: Simplify right side
    8,472.64x = 37,158,991.43
  5. Step 5: Solve for x
    x = 37,158,991.43/8,472.64
  6. Step 6: Final answer
    x = 4,385.76

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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.