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Finding the Fourth Proportional to 8,428.83, 11,636.81 and 7,494.76

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Solution

The fourth proportional to 8,428.83, 11,636.81 and 7,494.76 is: 10,347.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.83 : 11,636.81 = 7,494.76 : x
  2. Step 2: Convert to fraction form
    8,428.83/11,636.81 = 7,494.76/x
  3. Step 3: Cross multiply
    8,428.83x = 11,636.81 × 7,494.76
  4. Step 4: Simplify right side
    8,428.83x = 87,215,098.12
  5. Step 5: Solve for x
    x = 87,215,098.12/8,428.83
  6. Step 6: Final answer
    x = 10,347.24

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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.