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Finding the Fourth Proportional to 10,177, 14,041.83 and 5,925.45

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Solution

The fourth proportional to 10,177, 14,041.83 and 5,925.45 is: 8,175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,177 : 14,041.83 = 5,925.45 : x
  2. Step 2: Convert to fraction form
    10,177/14,041.83 = 5,925.45/x
  3. Step 3: Cross multiply
    10,177x = 14,041.83 × 5,925.45
  4. Step 4: Simplify right side
    10,177x = 83,204,161.57
  5. Step 5: Solve for x
    x = 83,204,161.57/10,177
  6. Step 6: Final answer
    x = 8,175.71

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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.