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Finding the Fourth Proportional to 10,802.96, 16,208.76 and 4,651.28

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Solution

The fourth proportional to 10,802.96, 16,208.76 and 4,651.28 is: 6,978.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.96 : 16,208.76 = 4,651.28 : x
  2. Step 2: Convert to fraction form
    10,802.96/16,208.76 = 4,651.28/x
  3. Step 3: Cross multiply
    10,802.96x = 16,208.76 × 4,651.28
  4. Step 4: Simplify right side
    10,802.96x = 75,391,481.21
  5. Step 5: Solve for x
    x = 75,391,481.21/10,802.96
  6. Step 6: Final answer
    x = 6,978.78

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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.