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Finding the Fourth Proportional to 10,709.25, 14,778.77 and 5,993.57

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Solution

The fourth proportional to 10,709.25, 14,778.77 and 5,993.57 is: 8,271.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.25 : 14,778.77 = 5,993.57 : x
  2. Step 2: Convert to fraction form
    10,709.25/14,778.77 = 5,993.57/x
  3. Step 3: Cross multiply
    10,709.25x = 14,778.77 × 5,993.57
  4. Step 4: Simplify right side
    10,709.25x = 88,577,488.65
  5. Step 5: Solve for x
    x = 88,577,488.65/10,709.25
  6. Step 6: Final answer
    x = 8,271.12

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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.