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Finding the Fourth Proportional to 10,345.25, 15,520.94 and 5,965.85

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Solution

The fourth proportional to 10,345.25, 15,520.94 and 5,965.85 is: 8,950.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,345.25 : 15,520.94 = 5,965.85 : x
  2. Step 2: Convert to fraction form
    10,345.25/15,520.94 = 5,965.85/x
  3. Step 3: Cross multiply
    10,345.25x = 15,520.94 × 5,965.85
  4. Step 4: Simplify right side
    10,345.25x = 92,595,570.07
  5. Step 5: Solve for x
    x = 92,595,570.07/10,345.25
  6. Step 6: Final answer
    x = 8,950.54

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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.