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Finding the Fourth Proportional to 8,127.36, 12,188.16 and 3,507.84

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Solution

The fourth proportional to 8,127.36, 12,188.16 and 3,507.84 is: 5,260.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127.36 : 12,188.16 = 3,507.84 : x
  2. Step 2: Convert to fraction form
    8,127.36/12,188.16 = 3,507.84/x
  3. Step 3: Cross multiply
    8,127.36x = 12,188.16 × 3,507.84
  4. Step 4: Simplify right side
    8,127.36x = 42,754,115.17
  5. Step 5: Solve for x
    x = 42,754,115.17/8,127.36
  6. Step 6: Final answer
    x = 5,260.52

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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.