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Finding the Fourth Proportional to 8,440.12, 12,647.86 and 5,973.60

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Solution

The fourth proportional to 8,440.12, 12,647.86 and 5,973.60 is: 8,951.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.12 : 12,647.86 = 5,973.60 : x
  2. Step 2: Convert to fraction form
    8,440.12/12,647.86 = 5,973.60/x
  3. Step 3: Cross multiply
    8,440.12x = 12,647.86 × 5,973.60
  4. Step 4: Simplify right side
    8,440.12x = 75,553,256.50
  5. Step 5: Solve for x
    x = 75,553,256.50/8,440.12
  6. Step 6: Final answer
    x = 8,951.68

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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.