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Finding the Fourth Proportional to 8,284.80, 11,428.17 and 5,299.53

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Solution

The fourth proportional to 8,284.80, 11,428.17 and 5,299.53 is: 7,310.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.80 : 11,428.17 = 5,299.53 : x
  2. Step 2: Convert to fraction form
    8,284.80/11,428.17 = 5,299.53/x
  3. Step 3: Cross multiply
    8,284.80x = 11,428.17 × 5,299.53
  4. Step 4: Simplify right side
    8,284.80x = 60,563,929.76
  5. Step 5: Solve for x
    x = 60,563,929.76/8,284.80
  6. Step 6: Final answer
    x = 7,310.25

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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.