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Finding the Fourth Proportional to 11,798.96, 16,282.77 and 6,764

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Solution

The fourth proportional to 11,798.96, 16,282.77 and 6,764 is: 9,334.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.96 : 16,282.77 = 6,764 : x
  2. Step 2: Convert to fraction form
    11,798.96/16,282.77 = 6,764/x
  3. Step 3: Cross multiply
    11,798.96x = 16,282.77 × 6,764
  4. Step 4: Simplify right side
    11,798.96x = 110,136,656.28
  5. Step 5: Solve for x
    x = 110,136,656.28/11,798.96
  6. Step 6: Final answer
    x = 9,334.44

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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.