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Finding the Fourth Proportional to 8,606.40, 12,893.40 and 8,023.20

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Solution

The fourth proportional to 8,606.40, 12,893.40 and 8,023.20 is: 12,019.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,606.40 : 12,893.40 = 8,023.20 : x
  2. Step 2: Convert to fraction form
    8,606.40/12,893.40 = 8,023.20/x
  3. Step 3: Cross multiply
    8,606.40x = 12,893.40 × 8,023.20
  4. Step 4: Simplify right side
    8,606.40x = 103,446,326.88
  5. Step 5: Solve for x
    x = 103,446,326.88/8,606.40
  6. Step 6: Final answer
    x = 12,019.70

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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.