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Finding the Fourth Proportional to 8,130.98, 12,200.57 and 3,204.15

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Solution

The fourth proportional to 8,130.98, 12,200.57 and 3,204.15 is: 4,807.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.98 : 12,200.57 = 3,204.15 : x
  2. Step 2: Convert to fraction form
    8,130.98/12,200.57 = 3,204.15/x
  3. Step 3: Cross multiply
    8,130.98x = 12,200.57 × 3,204.15
  4. Step 4: Simplify right side
    8,130.98x = 39,092,440.34
  5. Step 5: Solve for x
    x = 39,092,440.34/8,130.98
  6. Step 6: Final answer
    x = 4,807.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.