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Finding the Fourth Proportional to 10,816.80, 16,225.20 and 9,082.40

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Solution

The fourth proportional to 10,816.80, 16,225.20 and 9,082.40 is: 13,623.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,816.80 : 16,225.20 = 9,082.40 : x
  2. Step 2: Convert to fraction form
    10,816.80/16,225.20 = 9,082.40/x
  3. Step 3: Cross multiply
    10,816.80x = 16,225.20 × 9,082.40
  4. Step 4: Simplify right side
    10,816.80x = 147,363,756.48
  5. Step 5: Solve for x
    x = 147,363,756.48/10,816.80
  6. Step 6: Final answer
    x = 13,623.60

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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.