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Finding the Fourth Proportional to 10,802.80, 16,204.20 and 9,463.60

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Solution

The fourth proportional to 10,802.80, 16,204.20 and 9,463.60 is: 14,195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.80 : 16,204.20 = 9,463.60 : x
  2. Step 2: Convert to fraction form
    10,802.80/16,204.20 = 9,463.60/x
  3. Step 3: Cross multiply
    10,802.80x = 16,204.20 × 9,463.60
  4. Step 4: Simplify right side
    10,802.80x = 153,350,067.12
  5. Step 5: Solve for x
    x = 153,350,067.12/10,802.80
  6. Step 6: Final answer
    x = 14,195.40

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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.