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Finding the Fourth Proportional to 8,216.80, 12,325.20 and 5,298.40

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Solution

The fourth proportional to 8,216.80, 12,325.20 and 5,298.40 is: 7,947.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.80 : 12,325.20 = 5,298.40 : x
  2. Step 2: Convert to fraction form
    8,216.80/12,325.20 = 5,298.40/x
  3. Step 3: Cross multiply
    8,216.80x = 12,325.20 × 5,298.40
  4. Step 4: Simplify right side
    8,216.80x = 65,303,839.68
  5. Step 5: Solve for x
    x = 65,303,839.68/8,216.80
  6. Step 6: Final answer
    x = 7,947.60

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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.