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Finding the Fourth Proportional to 8,003.40, 12,005.10 and 7,128.60

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Solution

The fourth proportional to 8,003.40, 12,005.10 and 7,128.60 is: 10,692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.40 : 12,005.10 = 7,128.60 : x
  2. Step 2: Convert to fraction form
    8,003.40/12,005.10 = 7,128.60/x
  3. Step 3: Cross multiply
    8,003.40x = 12,005.10 × 7,128.60
  4. Step 4: Simplify right side
    8,003.40x = 85,579,555.86
  5. Step 5: Solve for x
    x = 85,579,555.86/8,003.40
  6. Step 6: Final answer
    x = 10,692.90

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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.