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Finding the Fourth Proportional to 7,494.30, 11,234.13 and 4,200.21

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Solution

The fourth proportional to 7,494.30, 11,234.13 and 4,200.21 is: 6,296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.30 : 11,234.13 = 4,200.21 : x
  2. Step 2: Convert to fraction form
    7,494.30/11,234.13 = 4,200.21/x
  3. Step 3: Cross multiply
    7,494.30x = 11,234.13 × 4,200.21
  4. Step 4: Simplify right side
    7,494.30x = 47,185,705.17
  5. Step 5: Solve for x
    x = 47,185,705.17/7,494.30
  6. Step 6: Final answer
    x = 6,296.21

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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.