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Finding the Fourth Proportional to 8,188.80, 12,283.14 and 2,345.43

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Solution

The fourth proportional to 8,188.80, 12,283.14 and 2,345.43 is: 3,518.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.80 : 12,283.14 = 2,345.43 : x
  2. Step 2: Convert to fraction form
    8,188.80/12,283.14 = 2,345.43/x
  3. Step 3: Cross multiply
    8,188.80x = 12,283.14 × 2,345.43
  4. Step 4: Simplify right side
    8,188.80x = 28,809,245.05
  5. Step 5: Solve for x
    x = 28,809,245.05/8,188.80
  6. Step 6: Final answer
    x = 3,518.13

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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.