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Finding the Fourth Proportional to 8,234.86, 11,362.40 and 4,697.94

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Solution

The fourth proportional to 8,234.86, 11,362.40 and 4,697.94 is: 6,482.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.86 : 11,362.40 = 4,697.94 : x
  2. Step 2: Convert to fraction form
    8,234.86/11,362.40 = 4,697.94/x
  3. Step 3: Cross multiply
    8,234.86x = 11,362.40 × 4,697.94
  4. Step 4: Simplify right side
    8,234.86x = 53,379,873.46
  5. Step 5: Solve for x
    x = 53,379,873.46/8,234.86
  6. Step 6: Final answer
    x = 6,482.18

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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.