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Finding the Fourth Proportional to 8,912.53, 12,355.55 and 8,438.50

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Solution

The fourth proportional to 8,912.53, 12,355.55 and 8,438.50 is: 11,698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,912.53 : 12,355.55 = 8,438.50 : x
  2. Step 2: Convert to fraction form
    8,912.53/12,355.55 = 8,438.50/x
  3. Step 3: Cross multiply
    8,912.53x = 12,355.55 × 8,438.50
  4. Step 4: Simplify right side
    8,912.53x = 104,262,308.68
  5. Step 5: Solve for x
    x = 104,262,308.68/8,912.53
  6. Step 6: Final answer
    x = 11,698.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.