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Finding the Fourth Proportional to 11,798.98, 16,282.53 and 6,493.66

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Solution

The fourth proportional to 11,798.98, 16,282.53 and 6,493.66 is: 8,961.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.98 : 16,282.53 = 6,493.66 : x
  2. Step 2: Convert to fraction form
    11,798.98/16,282.53 = 6,493.66/x
  3. Step 3: Cross multiply
    11,798.98x = 16,282.53 × 6,493.66
  4. Step 4: Simplify right side
    11,798.98x = 105,733,213.76
  5. Step 5: Solve for x
    x = 105,733,213.76/11,798.98
  6. Step 6: Final answer
    x = 8,961.22

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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.