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Finding the Fourth Proportional to 10,314.56, 15,467.28 and 3,293.28

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Solution

The fourth proportional to 10,314.56, 15,467.28 and 3,293.28 is: 4,938.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.56 : 15,467.28 = 3,293.28 : x
  2. Step 2: Convert to fraction form
    10,314.56/15,467.28 = 3,293.28/x
  3. Step 3: Cross multiply
    10,314.56x = 15,467.28 × 3,293.28
  4. Step 4: Simplify right side
    10,314.56x = 50,938,083.88
  5. Step 5: Solve for x
    x = 50,938,083.88/10,314.56
  6. Step 6: Final answer
    x = 4,938.46

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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.