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Finding the Fourth Proportional to 8,234.96, 11,364.90 and 4,697.36

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Solution

The fourth proportional to 8,234.96, 11,364.90 and 4,697.36 is: 6,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.96 : 11,364.90 = 4,697.36 : x
  2. Step 2: Convert to fraction form
    8,234.96/11,364.90 = 4,697.36/x
  3. Step 3: Cross multiply
    8,234.96x = 11,364.90 × 4,697.36
  4. Step 4: Simplify right side
    8,234.96x = 53,385,026.66
  5. Step 5: Solve for x
    x = 53,385,026.66/8,234.96
  6. Step 6: Final answer
    x = 6,482.73

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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.