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Finding the Fourth Proportional to 10,952.89, 16,430.21 and 4,375.46

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Solution

The fourth proportional to 10,952.89, 16,430.21 and 4,375.46 is: 6,563.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.89 : 16,430.21 = 4,375.46 : x
  2. Step 2: Convert to fraction form
    10,952.89/16,430.21 = 4,375.46/x
  3. Step 3: Cross multiply
    10,952.89x = 16,430.21 × 4,375.46
  4. Step 4: Simplify right side
    10,952.89x = 71,889,726.65
  5. Step 5: Solve for x
    x = 71,889,726.65/10,952.89
  6. Step 6: Final answer
    x = 6,563.54

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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.