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Finding the Fourth Proportional to 10,160.68, 14,021.22 and 5,684.44

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Solution

The fourth proportional to 10,160.68, 14,021.22 and 5,684.44 is: 7,844.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,160.68 : 14,021.22 = 5,684.44 : x
  2. Step 2: Convert to fraction form
    10,160.68/14,021.22 = 5,684.44/x
  3. Step 3: Cross multiply
    10,160.68x = 14,021.22 × 5,684.44
  4. Step 4: Simplify right side
    10,160.68x = 79,702,783.82
  5. Step 5: Solve for x
    x = 79,702,783.82/10,160.68
  6. Step 6: Final answer
    x = 7,844.24

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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.