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Finding the Fourth Proportional to 8,428.68, 11,633.12 and 5,071.96

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Solution

The fourth proportional to 8,428.68, 11,633.12 and 5,071.96 is: 7,000.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.68 : 11,633.12 = 5,071.96 : x
  2. Step 2: Convert to fraction form
    8,428.68/11,633.12 = 5,071.96/x
  3. Step 3: Cross multiply
    8,428.68x = 11,633.12 × 5,071.96
  4. Step 4: Simplify right side
    8,428.68x = 59,002,719.32
  5. Step 5: Solve for x
    x = 59,002,719.32/8,428.68
  6. Step 6: Final answer
    x = 7,000.23

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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.