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Finding the Fourth Proportional to 11,689.66, 16,132.38 and 6,384.96

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Solution

The fourth proportional to 11,689.66, 16,132.38 and 6,384.96 is: 8,811.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.66 : 16,132.38 = 6,384.96 : x
  2. Step 2: Convert to fraction form
    11,689.66/16,132.38 = 6,384.96/x
  3. Step 3: Cross multiply
    11,689.66x = 16,132.38 × 6,384.96
  4. Step 4: Simplify right side
    11,689.66x = 103,004,601.00
  5. Step 5: Solve for x
    x = 103,004,601.00/11,689.66
  6. Step 6: Final answer
    x = 8,811.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.