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Finding the Fourth Proportional to 11,688.68, 16,129.67 and 6,382.42

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Solution

The fourth proportional to 11,688.68, 16,129.67 and 6,382.42 is: 8,807.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.68 : 16,129.67 = 6,382.42 : x
  2. Step 2: Convert to fraction form
    11,688.68/16,129.67 = 6,382.42/x
  3. Step 3: Cross multiply
    11,688.68x = 16,129.67 × 6,382.42
  4. Step 4: Simplify right side
    11,688.68x = 102,946,328.40
  5. Step 5: Solve for x
    x = 102,946,328.40/11,688.68
  6. Step 6: Final answer
    x = 8,807.35

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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.