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Finding the Fourth Proportional to 10,709.01, 14,778.63 and 5,993.28

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Solution

The fourth proportional to 10,709.01, 14,778.63 and 5,993.28 is: 8,270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.01 : 14,778.63 = 5,993.28 : x
  2. Step 2: Convert to fraction form
    10,709.01/14,778.63 = 5,993.28/x
  3. Step 3: Cross multiply
    10,709.01x = 14,778.63 × 5,993.28
  4. Step 4: Simplify right side
    10,709.01x = 88,572,467.61
  5. Step 5: Solve for x
    x = 88,572,467.61/10,709.01
  6. Step 6: Final answer
    x = 8,270.84

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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.