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Finding the Fourth Proportional to 10,522.42, 15,790.11 and 5,846.02

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Solution

The fourth proportional to 10,522.42, 15,790.11 and 5,846.02 is: 8,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.42 : 15,790.11 = 5,846.02 : x
  2. Step 2: Convert to fraction form
    10,522.42/15,790.11 = 5,846.02/x
  3. Step 3: Cross multiply
    10,522.42x = 15,790.11 × 5,846.02
  4. Step 4: Simplify right side
    10,522.42x = 92,309,298.86
  5. Step 5: Solve for x
    x = 92,309,298.86/10,522.42
  6. Step 6: Final answer
    x = 8,772.63

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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.