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Finding the Fourth Proportional to 11,520.21, 15,899.41 and 6,485.42

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Solution

The fourth proportional to 11,520.21, 15,899.41 and 6,485.42 is: 8,950.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520.21 : 15,899.41 = 6,485.42 : x
  2. Step 2: Convert to fraction form
    11,520.21/15,899.41 = 6,485.42/x
  3. Step 3: Cross multiply
    11,520.21x = 15,899.41 × 6,485.42
  4. Step 4: Simplify right side
    11,520.21x = 103,114,328.26
  5. Step 5: Solve for x
    x = 103,114,328.26/11,520.21
  6. Step 6: Final answer
    x = 8,950.73

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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.