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Finding the Fourth Proportional to 8,165.60, 12,257.50 and 7,630.20

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Solution

The fourth proportional to 8,165.60, 12,257.50 and 7,630.20 is: 11,453.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.60 : 12,257.50 = 7,630.20 : x
  2. Step 2: Convert to fraction form
    8,165.60/12,257.50 = 7,630.20/x
  3. Step 3: Cross multiply
    8,165.60x = 12,257.50 × 7,630.20
  4. Step 4: Simplify right side
    8,165.60x = 93,527,176.50
  5. Step 5: Solve for x
    x = 93,527,176.50/8,165.60
  6. Step 6: Final answer
    x = 11,453.80

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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.