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Finding the Fourth Proportional to 10,830.40, 16,245.60 and 9,080.80

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Solution

The fourth proportional to 10,830.40, 16,245.60 and 9,080.80 is: 13,621.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.40 : 16,245.60 = 9,080.80 : x
  2. Step 2: Convert to fraction form
    10,830.40/16,245.60 = 9,080.80/x
  3. Step 3: Cross multiply
    10,830.40x = 16,245.60 × 9,080.80
  4. Step 4: Simplify right side
    10,830.40x = 147,523,044.48
  5. Step 5: Solve for x
    x = 147,523,044.48/10,830.40
  6. Step 6: Final answer
    x = 13,621.20

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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.