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Finding the Fourth Proportional to 10,563.48, 14,576.76 and 5,847.66

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Solution

The fourth proportional to 10,563.48, 14,576.76 and 5,847.66 is: 8,069.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.48 : 14,576.76 = 5,847.66 : x
  2. Step 2: Convert to fraction form
    10,563.48/14,576.76 = 5,847.66/x
  3. Step 3: Cross multiply
    10,563.48x = 14,576.76 × 5,847.66
  4. Step 4: Simplify right side
    10,563.48x = 85,239,936.38
  5. Step 5: Solve for x
    x = 85,239,936.38/10,563.48
  6. Step 6: Final answer
    x = 8,069.30

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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.