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Finding the Fourth Proportional to 8,225.20, 11,348.40 and 5,082.40

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Solution

The fourth proportional to 8,225.20, 11,348.40 and 5,082.40 is: 7,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.20 : 11,348.40 = 5,082.40 : x
  2. Step 2: Convert to fraction form
    8,225.20/11,348.40 = 5,082.40/x
  3. Step 3: Cross multiply
    8,225.20x = 11,348.40 × 5,082.40
  4. Step 4: Simplify right side
    8,225.20x = 57,677,108.16
  5. Step 5: Solve for x
    x = 57,677,108.16/8,225.20
  6. Step 6: Final answer
    x = 7,012.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.