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Finding the Fourth Proportional to 11,282.40, 16,928.40 and 7,125.60

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Solution

The fourth proportional to 11,282.40, 16,928.40 and 7,125.60 is: 10,691.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,282.40 : 16,928.40 = 7,125.60 : x
  2. Step 2: Convert to fraction form
    11,282.40/16,928.40 = 7,125.60/x
  3. Step 3: Cross multiply
    11,282.40x = 16,928.40 × 7,125.60
  4. Step 4: Simplify right side
    11,282.40x = 120,625,007.04
  5. Step 5: Solve for x
    x = 120,625,007.04/11,282.40
  6. Step 6: Final answer
    x = 10,691.43

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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.