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Finding the Fourth Proportional to 11,676.07, 16,112.96 and 7,484.32

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Solution

The fourth proportional to 11,676.07, 16,112.96 and 7,484.32 is: 10,328.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.07 : 16,112.96 = 7,484.32 : x
  2. Step 2: Convert to fraction form
    11,676.07/16,112.96 = 7,484.32/x
  3. Step 3: Cross multiply
    11,676.07x = 16,112.96 × 7,484.32
  4. Step 4: Simplify right side
    11,676.07x = 120,594,548.79
  5. Step 5: Solve for x
    x = 120,594,548.79/11,676.07
  6. Step 6: Final answer
    x = 10,328.35

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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.