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Finding the Fourth Proportional to 11,676.80, 16,113.45 and 7,200.96

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Solution

The fourth proportional to 11,676.80, 16,113.45 and 7,200.96 is: 9,937.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.80 : 16,113.45 = 7,200.96 : x
  2. Step 2: Convert to fraction form
    11,676.80/16,113.45 = 7,200.96/x
  3. Step 3: Cross multiply
    11,676.80x = 16,113.45 × 7,200.96
  4. Step 4: Simplify right side
    11,676.80x = 116,032,308.91
  5. Step 5: Solve for x
    x = 116,032,308.91/11,676.80
  6. Step 6: Final answer
    x = 9,937.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.