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Finding the Fourth Proportional to 10,174.66, 14,039.60 and 5,922.43

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Solution

The fourth proportional to 10,174.66, 14,039.60 and 5,922.43 is: 8,172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.66 : 14,039.60 = 5,922.43 : x
  2. Step 2: Convert to fraction form
    10,174.66/14,039.60 = 5,922.43/x
  3. Step 3: Cross multiply
    10,174.66x = 14,039.60 × 5,922.43
  4. Step 4: Simplify right side
    10,174.66x = 83,148,483.52
  5. Step 5: Solve for x
    x = 83,148,483.52/10,174.66
  6. Step 6: Final answer
    x = 8,172.12

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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.