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Finding the Fourth Proportional to 8,127.84, 12,182.94 and 4,232.64

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Solution

The fourth proportional to 8,127.84, 12,182.94 and 4,232.64 is: 6,344.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127.84 : 12,182.94 = 4,232.64 : x
  2. Step 2: Convert to fraction form
    8,127.84/12,182.94 = 4,232.64/x
  3. Step 3: Cross multiply
    8,127.84x = 12,182.94 × 4,232.64
  4. Step 4: Simplify right side
    8,127.84x = 51,565,999.16
  5. Step 5: Solve for x
    x = 51,565,999.16/8,127.84
  6. Step 6: Final answer
    x = 6,344.37

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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.