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Finding the Fourth Proportional to 10,802.85, 16,197.80 and 4,221.20

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Solution

The fourth proportional to 10,802.85, 16,197.80 and 4,221.20 is: 6,329.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.85 : 16,197.80 = 4,221.20 : x
  2. Step 2: Convert to fraction form
    10,802.85/16,197.80 = 4,221.20/x
  3. Step 3: Cross multiply
    10,802.85x = 16,197.80 × 4,221.20
  4. Step 4: Simplify right side
    10,802.85x = 68,374,051.27
  5. Step 5: Solve for x
    x = 68,374,051.27/10,802.85
  6. Step 6: Final answer
    x = 6,329.26

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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.