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Finding the Fourth Proportional to 11,655.33, 16,083.75 and 6,349.95

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Solution

The fourth proportional to 11,655.33, 16,083.75 and 6,349.95 is: 8,762.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.33 : 16,083.75 = 6,349.95 : x
  2. Step 2: Convert to fraction form
    11,655.33/16,083.75 = 6,349.95/x
  3. Step 3: Cross multiply
    11,655.33x = 16,083.75 × 6,349.95
  4. Step 4: Simplify right side
    11,655.33x = 102,131,008.31
  5. Step 5: Solve for x
    x = 102,131,008.31/11,655.33
  6. Step 6: Final answer
    x = 8,762.60

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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.