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Finding the Fourth Proportional to 8,129.64, 12,189.20 and 5,347.90

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Solution

The fourth proportional to 8,129.64, 12,189.20 and 5,347.90 is: 8,018.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.64 : 12,189.20 = 5,347.90 : x
  2. Step 2: Convert to fraction form
    8,129.64/12,189.20 = 5,347.90/x
  3. Step 3: Cross multiply
    8,129.64x = 12,189.20 × 5,347.90
  4. Step 4: Simplify right side
    8,129.64x = 65,186,622.68
  5. Step 5: Solve for x
    x = 65,186,622.68/8,129.64
  6. Step 6: Final answer
    x = 8,018.39

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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.