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Finding the Fourth Proportional to 12,507.94, 18,757.34 and 5,483.12

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Solution

The fourth proportional to 12,507.94, 18,757.34 and 5,483.12 is: 8,222.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,507.94 : 18,757.34 = 5,483.12 : x
  2. Step 2: Convert to fraction form
    12,507.94/18,757.34 = 5,483.12/x
  3. Step 3: Cross multiply
    12,507.94x = 18,757.34 × 5,483.12
  4. Step 4: Simplify right side
    12,507.94x = 102,848,746.10
  5. Step 5: Solve for x
    x = 102,848,746.10/12,507.94
  6. Step 6: Final answer
    x = 8,222.68

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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.