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Finding the Fourth Proportional to 7,271.60, 10,883.10 and 6,396.80

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Solution

The fourth proportional to 7,271.60, 10,883.10 and 6,396.80 is: 9,573.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.60 : 10,883.10 = 6,396.80 : x
  2. Step 2: Convert to fraction form
    7,271.60/10,883.10 = 6,396.80/x
  3. Step 3: Cross multiply
    7,271.60x = 10,883.10 × 6,396.80
  4. Step 4: Simplify right side
    7,271.60x = 69,617,014.08
  5. Step 5: Solve for x
    x = 69,617,014.08/7,271.60
  6. Step 6: Final answer
    x = 9,573.82

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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.