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Finding the Fourth Proportional to 8,069.60, 12,095.40 and 3,137.60

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Solution

The fourth proportional to 8,069.60, 12,095.40 and 3,137.60 is: 4,702.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,069.60 : 12,095.40 = 3,137.60 : x
  2. Step 2: Convert to fraction form
    8,069.60/12,095.40 = 3,137.60/x
  3. Step 3: Cross multiply
    8,069.60x = 12,095.40 × 3,137.60
  4. Step 4: Simplify right side
    8,069.60x = 37,950,527.04
  5. Step 5: Solve for x
    x = 37,950,527.04/8,069.60
  6. Step 6: Final answer
    x = 4,702.90

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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.