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Finding the Fourth Proportional to 10,469.16, 14,447.16 and 5,752.80

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Solution

The fourth proportional to 10,469.16, 14,447.16 and 5,752.80 is: 7,938.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.16 : 14,447.16 = 5,752.80 : x
  2. Step 2: Convert to fraction form
    10,469.16/14,447.16 = 5,752.80/x
  3. Step 3: Cross multiply
    10,469.16x = 14,447.16 × 5,752.80
  4. Step 4: Simplify right side
    10,469.16x = 83,111,622.05
  5. Step 5: Solve for x
    x = 83,111,622.05/10,469.16
  6. Step 6: Final answer
    x = 7,938.71

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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.