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Finding the Fourth Proportional to 11,762.14, 16,231.77 and 6,384.58

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Solution

The fourth proportional to 11,762.14, 16,231.77 and 6,384.58 is: 8,810.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.14 : 16,231.77 = 6,384.58 : x
  2. Step 2: Convert to fraction form
    11,762.14/16,231.77 = 6,384.58/x
  3. Step 3: Cross multiply
    11,762.14x = 16,231.77 × 6,384.58
  4. Step 4: Simplify right side
    11,762.14x = 103,633,004.23
  5. Step 5: Solve for x
    x = 103,633,004.23/11,762.14
  6. Step 6: Final answer
    x = 8,810.72

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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.