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Finding the Fourth Proportional to 10,447.86, 14,418.06 and 5,732.16

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Solution

The fourth proportional to 10,447.86, 14,418.06 and 5,732.16 is: 7,910.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.86 : 14,418.06 = 5,732.16 : x
  2. Step 2: Convert to fraction form
    10,447.86/14,418.06 = 5,732.16/x
  3. Step 3: Cross multiply
    10,447.86x = 14,418.06 × 5,732.16
  4. Step 4: Simplify right side
    10,447.86x = 82,646,626.81
  5. Step 5: Solve for x
    x = 82,646,626.81/10,447.86
  6. Step 6: Final answer
    x = 7,910.39

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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.