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Finding the Fourth Proportional to 12,575.38, 17,353.62 and 7,271.04

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Solution

The fourth proportional to 12,575.38, 17,353.62 and 7,271.04 is: 10,033.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,575.38 : 17,353.62 = 7,271.04 : x
  2. Step 2: Convert to fraction form
    12,575.38/17,353.62 = 7,271.04/x
  3. Step 3: Cross multiply
    12,575.38x = 17,353.62 × 7,271.04
  4. Step 4: Simplify right side
    12,575.38x = 126,178,865.16
  5. Step 5: Solve for x
    x = 126,178,865.16/12,575.38
  6. Step 6: Final answer
    x = 10,033.80

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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.