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Finding the Fourth Proportional to 10,151.28, 14,008.08 and 5,674.80

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Solution

The fourth proportional to 10,151.28, 14,008.08 and 5,674.80 is: 7,830.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.28 : 14,008.08 = 5,674.80 : x
  2. Step 2: Convert to fraction form
    10,151.28/14,008.08 = 5,674.80/x
  3. Step 3: Cross multiply
    10,151.28x = 14,008.08 × 5,674.80
  4. Step 4: Simplify right side
    10,151.28x = 79,493,052.38
  5. Step 5: Solve for x
    x = 79,493,052.38/10,151.28
  6. Step 6: Final answer
    x = 7,830.84

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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.