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Finding the Fourth Proportional to 8,428.70, 12,643.05 and 8,380.10

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Solution

The fourth proportional to 8,428.70, 12,643.05 and 8,380.10 is: 12,570.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.70 : 12,643.05 = 8,380.10 : x
  2. Step 2: Convert to fraction form
    8,428.70/12,643.05 = 8,380.10/x
  3. Step 3: Cross multiply
    8,428.70x = 12,643.05 × 8,380.10
  4. Step 4: Simplify right side
    8,428.70x = 105,950,023.31
  5. Step 5: Solve for x
    x = 105,950,023.31/8,428.70
  6. Step 6: Final answer
    x = 12,570.15

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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.