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Finding the Fourth Proportional to 10,771.44, 16,156.95 and 5,225.23

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Solution

The fourth proportional to 10,771.44, 16,156.95 and 5,225.23 is: 7,837.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.44 : 16,156.95 = 5,225.23 : x
  2. Step 2: Convert to fraction form
    10,771.44/16,156.95 = 5,225.23/x
  3. Step 3: Cross multiply
    10,771.44x = 16,156.95 × 5,225.23
  4. Step 4: Simplify right side
    10,771.44x = 84,423,779.85
  5. Step 5: Solve for x
    x = 84,423,779.85/10,771.44
  6. Step 6: Final answer
    x = 7,837.74

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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.