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Finding the Fourth Proportional to 12,507.64, 18,761.50 and 5,112.10

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Solution

The fourth proportional to 12,507.64, 18,761.50 and 5,112.10 is: 7,668.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,507.64 : 18,761.50 = 5,112.10 : x
  2. Step 2: Convert to fraction form
    12,507.64/18,761.50 = 5,112.10/x
  3. Step 3: Cross multiply
    12,507.64x = 18,761.50 × 5,112.10
  4. Step 4: Simplify right side
    12,507.64x = 95,910,664.15
  5. Step 5: Solve for x
    x = 95,910,664.15/12,507.64
  6. Step 6: Final answer
    x = 7,668.17

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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.