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Finding the Fourth Proportional to 10,564.85, 14,576.38 and 6,086.99

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Solution

The fourth proportional to 10,564.85, 14,576.38 and 6,086.99 is: 8,398.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.85 : 14,576.38 = 6,086.99 : x
  2. Step 2: Convert to fraction form
    10,564.85/14,576.38 = 6,086.99/x
  3. Step 3: Cross multiply
    10,564.85x = 14,576.38 × 6,086.99
  4. Step 4: Simplify right side
    10,564.85x = 88,726,279.30
  5. Step 5: Solve for x
    x = 88,726,279.30/10,564.85
  6. Step 6: Final answer
    x = 8,398.25

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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.