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Finding the Fourth Proportional to 11,633.93, 16,053.95 and 6,596.99

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Solution

The fourth proportional to 11,633.93, 16,053.95 and 6,596.99 is: 9,103.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.93 : 16,053.95 = 6,596.99 : x
  2. Step 2: Convert to fraction form
    11,633.93/16,053.95 = 6,596.99/x
  3. Step 3: Cross multiply
    11,633.93x = 16,053.95 × 6,596.99
  4. Step 4: Simplify right side
    11,633.93x = 105,907,797.23
  5. Step 5: Solve for x
    x = 105,907,797.23/11,633.93
  6. Step 6: Final answer
    x = 9,103.36

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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.