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Finding the Fourth Proportional to 8,226.40, 12,307.20 and 7,142.80

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Solution

The fourth proportional to 8,226.40, 12,307.20 and 7,142.80 is: 10,686.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.40 : 12,307.20 = 7,142.80 : x
  2. Step 2: Convert to fraction form
    8,226.40/12,307.20 = 7,142.80/x
  3. Step 3: Cross multiply
    8,226.40x = 12,307.20 × 7,142.80
  4. Step 4: Simplify right side
    8,226.40x = 87,907,868.16
  5. Step 5: Solve for x
    x = 87,907,868.16/8,226.40
  6. Step 6: Final answer
    x = 10,686.07

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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.