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Finding the Fourth Proportional to 8,234.98, 11,364.18 and 4,458.06

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Solution

The fourth proportional to 8,234.98, 11,364.18 and 4,458.06 is: 6,152.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.98 : 11,364.18 = 4,458.06 : x
  2. Step 2: Convert to fraction form
    8,234.98/11,364.18 = 4,458.06/x
  3. Step 3: Cross multiply
    8,234.98x = 11,364.18 × 4,458.06
  4. Step 4: Simplify right side
    8,234.98x = 50,662,196.29
  5. Step 5: Solve for x
    x = 50,662,196.29/8,234.98
  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.