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Finding the Fourth Proportional to 8,956.80, 12,361.16 and 4,977.84

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Solution

The fourth proportional to 8,956.80, 12,361.16 and 4,977.84 is: 6,869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,956.80 : 12,361.16 = 4,977.84 : x
  2. Step 2: Convert to fraction form
    8,956.80/12,361.16 = 4,977.84/x
  3. Step 3: Cross multiply
    8,956.80x = 12,361.16 × 4,977.84
  4. Step 4: Simplify right side
    8,956.80x = 61,531,876.69
  5. Step 5: Solve for x
    x = 61,531,876.69/8,956.80
  6. Step 6: Final answer
    x = 6,869.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.