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Finding the Fourth Proportional to 8,130.40, 12,192 and 2,936.32

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Solution

The fourth proportional to 8,130.40, 12,192 and 2,936.32 is: 4,403.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.40 : 12,192 = 2,936.32 : x
  2. Step 2: Convert to fraction form
    8,130.40/12,192 = 2,936.32/x
  3. Step 3: Cross multiply
    8,130.40x = 12,192 × 2,936.32
  4. Step 4: Simplify right side
    8,130.40x = 35,799,613.44
  5. Step 5: Solve for x
    x = 35,799,613.44/8,130.40
  6. Step 6: Final answer
    x = 4,403.18

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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.