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Finding the Fourth Proportional to 12,507.84, 18,757.44 and 5,112

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Solution

The fourth proportional to 12,507.84, 18,757.44 and 5,112 is: 7,666.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,507.84 : 18,757.44 = 5,112 : x
  2. Step 2: Convert to fraction form
    12,507.84/18,757.44 = 5,112/x
  3. Step 3: Cross multiply
    12,507.84x = 18,757.44 × 5,112
  4. Step 4: Simplify right side
    12,507.84x = 95,888,033.28
  5. Step 5: Solve for x
    x = 95,888,033.28/12,507.84
  6. Step 6: Final answer
    x = 7,666.23

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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.