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Finding the Fourth Proportional to 10,562.97, 14,576.49 and 6,316.38

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Solution

The fourth proportional to 10,562.97, 14,576.49 and 6,316.38 is: 8,716.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.97 : 14,576.49 = 6,316.38 : x
  2. Step 2: Convert to fraction form
    10,562.97/14,576.49 = 6,316.38/x
  3. Step 3: Cross multiply
    10,562.97x = 14,576.49 × 6,316.38
  4. Step 4: Simplify right side
    10,562.97x = 92,070,649.91
  5. Step 5: Solve for x
    x = 92,070,649.91/10,562.97
  6. Step 6: Final answer
    x = 8,716.36

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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.