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Finding the Fourth Proportional to 10,676.64, 16,014.96 and 4,833.12

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Solution

The fourth proportional to 10,676.64, 16,014.96 and 4,833.12 is: 7,249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.64 : 16,014.96 = 4,833.12 : x
  2. Step 2: Convert to fraction form
    10,676.64/16,014.96 = 4,833.12/x
  3. Step 3: Cross multiply
    10,676.64x = 16,014.96 × 4,833.12
  4. Step 4: Simplify right side
    10,676.64x = 77,402,223.48
  5. Step 5: Solve for x
    x = 77,402,223.48/10,676.64
  6. Step 6: Final answer
    x = 7,249.68

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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.