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Finding the Fourth Proportional to 10,931.56, 16,396.74 and 5,383.48

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Solution

The fourth proportional to 10,931.56, 16,396.74 and 5,383.48 is: 8,074.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931.56 : 16,396.74 = 5,383.48 : x
  2. Step 2: Convert to fraction form
    10,931.56/16,396.74 = 5,383.48/x
  3. Step 3: Cross multiply
    10,931.56x = 16,396.74 × 5,383.48
  4. Step 4: Simplify right side
    10,931.56x = 88,271,521.86
  5. Step 5: Solve for x
    x = 88,271,521.86/10,931.56
  6. Step 6: Final answer
    x = 8,074.92

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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.