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Finding the Fourth Proportional to 10,176, 14,040.45 and 5,924.45

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Solution

The fourth proportional to 10,176, 14,040.45 and 5,924.45 is: 8,174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,176 : 14,040.45 = 5,924.45 : x
  2. Step 2: Convert to fraction form
    10,176/14,040.45 = 5,924.45/x
  3. Step 3: Cross multiply
    10,176x = 14,040.45 × 5,924.45
  4. Step 4: Simplify right side
    10,176x = 83,181,873.80
  5. Step 5: Solve for x
    x = 83,181,873.80/10,176
  6. Step 6: Final answer
    x = 8,174.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.