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Finding the Fourth Proportional to 8,428.10, 12,635.00 and 3,494.66

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Solution

The fourth proportional to 8,428.10, 12,635.00 and 3,494.66 is: 5,239.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.10 : 12,635.00 = 3,494.66 : x
  2. Step 2: Convert to fraction form
    8,428.10/12,635.00 = 3,494.66/x
  3. Step 3: Cross multiply
    8,428.10x = 12,635.00 × 3,494.66
  4. Step 4: Simplify right side
    8,428.10x = 44,154,974.66
  5. Step 5: Solve for x
    x = 44,154,974.66/8,428.10
  6. Step 6: Final answer
    x = 5,239.02

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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.