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Finding the Fourth Proportional to 10,709.35, 14,778.95 and 5,993.63

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Solution

The fourth proportional to 10,709.35, 14,778.95 and 5,993.63 is: 8,271.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.35 : 14,778.95 = 5,993.63 : x
  2. Step 2: Convert to fraction form
    10,709.35/14,778.95 = 5,993.63/x
  3. Step 3: Cross multiply
    10,709.35x = 14,778.95 × 5,993.63
  4. Step 4: Simplify right side
    10,709.35x = 88,579,454.23
  5. Step 5: Solve for x
    x = 88,579,454.23/10,709.35
  6. Step 6: Final answer
    x = 8,271.23

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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.