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Finding the Fourth Proportional to 8,290.09, 11,428.61 and 5,928.13

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Solution

The fourth proportional to 8,290.09, 11,428.61 and 5,928.13 is: 8,172.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.09 : 11,428.61 = 5,928.13 : x
  2. Step 2: Convert to fraction form
    8,290.09/11,428.61 = 5,928.13/x
  3. Step 3: Cross multiply
    8,290.09x = 11,428.61 × 5,928.13
  4. Step 4: Simplify right side
    8,290.09x = 67,750,285.80
  5. Step 5: Solve for x
    x = 67,750,285.80/8,290.09
  6. Step 6: Final answer
    x = 8,172.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.