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Finding the Fourth Proportional to 8,380.16, 12,570.24 and 3,189.68

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Solution

The fourth proportional to 8,380.16, 12,570.24 and 3,189.68 is: 4,784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.16 : 12,570.24 = 3,189.68 : x
  2. Step 2: Convert to fraction form
    8,380.16/12,570.24 = 3,189.68/x
  3. Step 3: Cross multiply
    8,380.16x = 12,570.24 × 3,189.68
  4. Step 4: Simplify right side
    8,380.16x = 40,095,043.12
  5. Step 5: Solve for x
    x = 40,095,043.12/8,380.16
  6. Step 6: Final answer
    x = 4,784.52

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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.