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Finding the Fourth Proportional to 12,576.86, 17,357.57 and 7,543.85

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Solution

The fourth proportional to 12,576.86, 17,357.57 and 7,543.85 is: 10,411.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.86 : 17,357.57 = 7,543.85 : x
  2. Step 2: Convert to fraction form
    12,576.86/17,357.57 = 7,543.85/x
  3. Step 3: Cross multiply
    12,576.86x = 17,357.57 × 7,543.85
  4. Step 4: Simplify right side
    12,576.86x = 130,942,904.44
  5. Step 5: Solve for x
    x = 130,942,904.44/12,576.86
  6. Step 6: Final answer
    x = 10,411.41

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