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Finding the Fourth Proportional to 12,576.87, 17,357.58 and 7,543.83

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Solution

The fourth proportional to 12,576.87, 17,357.58 and 7,543.83 is: 10,411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.87 : 17,357.58 = 7,543.83 : x
  2. Step 2: Convert to fraction form
    12,576.87/17,357.58 = 7,543.83/x
  3. Step 3: Cross multiply
    12,576.87x = 17,357.58 × 7,543.83
  4. Step 4: Simplify right side
    12,576.87x = 130,942,632.73
  5. Step 5: Solve for x
    x = 130,942,632.73/12,576.87
  6. Step 6: Final answer
    x = 10,411.38

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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.