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Finding the Fourth Proportional to 12,576.46, 17,357.05 and 7,200.90

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Solution

The fourth proportional to 12,576.46, 17,357.05 and 7,200.90 is: 9,938.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.46 : 17,357.05 = 7,200.90 : x
  2. Step 2: Convert to fraction form
    12,576.46/17,357.05 = 7,200.90/x
  3. Step 3: Cross multiply
    12,576.46x = 17,357.05 × 7,200.90
  4. Step 4: Simplify right side
    12,576.46x = 124,986,381.35
  5. Step 5: Solve for x
    x = 124,986,381.35/12,576.46
  6. Step 6: Final answer
    x = 9,938.12

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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.