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Finding the Fourth Proportional to 10,928.96, 15,082.56 and 8,271.68

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Solution

The fourth proportional to 10,928.96, 15,082.56 and 8,271.68 is: 11,415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,928.96 : 15,082.56 = 8,271.68 : x
  2. Step 2: Convert to fraction form
    10,928.96/15,082.56 = 8,271.68/x
  3. Step 3: Cross multiply
    10,928.96x = 15,082.56 × 8,271.68
  4. Step 4: Simplify right side
    10,928.96x = 124,758,109.90
  5. Step 5: Solve for x
    x = 124,758,109.90/10,928.96
  6. Step 6: Final answer
    x = 11,415.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.