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Finding the Fourth Proportional to 11,782.72, 16,260.18 and 6,477.55

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Solution

The fourth proportional to 11,782.72, 16,260.18 and 6,477.55 is: 8,939.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.72 : 16,260.18 = 6,477.55 : x
  2. Step 2: Convert to fraction form
    11,782.72/16,260.18 = 6,477.55/x
  3. Step 3: Cross multiply
    11,782.72x = 16,260.18 × 6,477.55
  4. Step 4: Simplify right side
    11,782.72x = 105,326,128.96
  5. Step 5: Solve for x
    x = 105,326,128.96/11,782.72
  6. Step 6: Final answer
    x = 8,939.03

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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.