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Finding the Fourth Proportional to 8,456.40, 12,692.70 and 7,225.20

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Solution

The fourth proportional to 8,456.40, 12,692.70 and 7,225.20 is: 10,844.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.40 : 12,692.70 = 7,225.20 : x
  2. Step 2: Convert to fraction form
    8,456.40/12,692.70 = 7,225.20/x
  3. Step 3: Cross multiply
    8,456.40x = 12,692.70 × 7,225.20
  4. Step 4: Simplify right side
    8,456.40x = 91,707,296.04
  5. Step 5: Solve for x
    x = 91,707,296.04/8,456.40
  6. Step 6: Final answer
    x = 10,844.72

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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.