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Finding the Fourth Proportional to 7,210.80, 10,816.20 and 6,346.80

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Solution

The fourth proportional to 7,210.80, 10,816.20 and 6,346.80 is: 9,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.80 : 10,816.20 = 6,346.80 : x
  2. Step 2: Convert to fraction form
    7,210.80/10,816.20 = 6,346.80/x
  3. Step 3: Cross multiply
    7,210.80x = 10,816.20 × 6,346.80
  4. Step 4: Simplify right side
    7,210.80x = 68,648,258.16
  5. Step 5: Solve for x
    x = 68,648,258.16/7,210.80
  6. Step 6: Final answer
    x = 9,520.20

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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.