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Finding the Fourth Proportional to 10,469.04, 14,447.16 and 5,753.22

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Solution

The fourth proportional to 10,469.04, 14,447.16 and 5,753.22 is: 7,939.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.04 : 14,447.16 = 5,753.22 : x
  2. Step 2: Convert to fraction form
    10,469.04/14,447.16 = 5,753.22/x
  3. Step 3: Cross multiply
    10,469.04x = 14,447.16 × 5,753.22
  4. Step 4: Simplify right side
    10,469.04x = 83,117,689.86
  5. Step 5: Solve for x
    x = 83,117,689.86/10,469.04
  6. Step 6: Final answer
    x = 7,939.38

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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.