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Finding the Fourth Proportional to 12,380.21, 17,079.32 and 8,287.10

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Solution

The fourth proportional to 12,380.21, 17,079.32 and 8,287.10 is: 11,432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.21 : 17,079.32 = 8,287.10 : x
  2. Step 2: Convert to fraction form
    12,380.21/17,079.32 = 8,287.10/x
  3. Step 3: Cross multiply
    12,380.21x = 17,079.32 × 8,287.10
  4. Step 4: Simplify right side
    12,380.21x = 141,538,032.77
  5. Step 5: Solve for x
    x = 141,538,032.77/12,380.21
  6. Step 6: Final answer
    x = 11,432.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.