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Finding the Fourth Proportional to 11,782.59, 16,260.03 and 6,477.75

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Solution

The fourth proportional to 11,782.59, 16,260.03 and 6,477.75 is: 8,939.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.59 : 16,260.03 = 6,477.75 : x
  2. Step 2: Convert to fraction form
    11,782.59/16,260.03 = 6,477.75/x
  3. Step 3: Cross multiply
    11,782.59x = 16,260.03 × 6,477.75
  4. Step 4: Simplify right side
    11,782.59x = 105,328,409.33
  5. Step 5: Solve for x
    x = 105,328,409.33/11,782.59
  6. Step 6: Final answer
    x = 8,939.33

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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.