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Finding the Fourth Proportional to 8,429.80, 12,635.06 and 5,135.58

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Solution

The fourth proportional to 8,429.80, 12,635.06 and 5,135.58 is: 7,697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.80 : 12,635.06 = 5,135.58 : x
  2. Step 2: Convert to fraction form
    8,429.80/12,635.06 = 5,135.58/x
  3. Step 3: Cross multiply
    8,429.80x = 12,635.06 × 5,135.58
  4. Step 4: Simplify right side
    8,429.80x = 64,888,361.43
  5. Step 5: Solve for x
    x = 64,888,361.43/8,429.80
  6. Step 6: Final answer
    x = 7,697.50

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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.