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Finding the Fourth Proportional to 8,234.85, 11,364.12 and 4,458.01

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Solution

The fourth proportional to 8,234.85, 11,364.12 and 4,458.01 is: 6,152.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.85 : 11,364.12 = 4,458.01 : x
  2. Step 2: Convert to fraction form
    8,234.85/11,364.12 = 4,458.01/x
  3. Step 3: Cross multiply
    8,234.85x = 11,364.12 × 4,458.01
  4. Step 4: Simplify right side
    8,234.85x = 50,661,398.00
  5. Step 5: Solve for x
    x = 50,661,398.00/8,234.85
  6. Step 6: Final answer
    x = 6,152.07

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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.