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Finding the Fourth Proportional to 10,799.67, 16,202.13 and 4,556.32

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Solution

The fourth proportional to 10,799.67, 16,202.13 and 4,556.32 is: 6,835.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,799.67 : 16,202.13 = 4,556.32 : x
  2. Step 2: Convert to fraction form
    10,799.67/16,202.13 = 4,556.32/x
  3. Step 3: Cross multiply
    10,799.67x = 16,202.13 × 4,556.32
  4. Step 4: Simplify right side
    10,799.67x = 73,822,088.96
  5. Step 5: Solve for x
    x = 73,822,088.96/10,799.67
  6. Step 6: Final answer
    x = 6,835.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.