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Finding the Fourth Proportional to 10,576, 15,864.11 and 4,334.41

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Solution

The fourth proportional to 10,576, 15,864.11 and 4,334.41 is: 6,501.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576 : 15,864.11 = 4,334.41 : x
  2. Step 2: Convert to fraction form
    10,576/15,864.11 = 4,334.41/x
  3. Step 3: Cross multiply
    10,576x = 15,864.11 × 4,334.41
  4. Step 4: Simplify right side
    10,576x = 68,761,557.03
  5. Step 5: Solve for x
    x = 68,761,557.03/10,576
  6. Step 6: Final answer
    x = 6,501.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.