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Finding the Fourth Proportional to 10,709.66, 14,778.51 and 5,993.30

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Solution

The fourth proportional to 10,709.66, 14,778.51 and 5,993.30 is: 8,270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.66 : 14,778.51 = 5,993.30 : x
  2. Step 2: Convert to fraction form
    10,709.66/14,778.51 = 5,993.30/x
  3. Step 3: Cross multiply
    10,709.66x = 14,778.51 × 5,993.30
  4. Step 4: Simplify right side
    10,709.66x = 88,572,043.98
  5. Step 5: Solve for x
    x = 88,572,043.98/10,709.66
  6. Step 6: Final answer
    x = 8,270.29

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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.