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Finding the Fourth Proportional to 8,284.95, 12,428.82 and 5,899.93

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Solution

The fourth proportional to 8,284.95, 12,428.82 and 5,899.93 is: 8,850.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.95 : 12,428.82 = 5,899.93 : x
  2. Step 2: Convert to fraction form
    8,284.95/12,428.82 = 5,899.93/x
  3. Step 3: Cross multiply
    8,284.95x = 12,428.82 × 5,899.93
  4. Step 4: Simplify right side
    8,284.95x = 73,329,136.91
  5. Step 5: Solve for x
    x = 73,329,136.91/8,284.95
  6. Step 6: Final answer
    x = 8,850.88

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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.