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Finding the Fourth Proportional to 10,291.70, 14,202.53 and 5,576.00

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Solution

The fourth proportional to 10,291.70, 14,202.53 and 5,576.00 is: 7,694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.70 : 14,202.53 = 5,576.00 : x
  2. Step 2: Convert to fraction form
    10,291.70/14,202.53 = 5,576.00/x
  3. Step 3: Cross multiply
    10,291.70x = 14,202.53 × 5,576.00
  4. Step 4: Simplify right side
    10,291.70x = 79,193,229.30
  5. Step 5: Solve for x
    x = 79,193,229.30/10,291.70
  6. Step 6: Final answer
    x = 7,694.86

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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.