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Finding the Fourth Proportional to 11,901.66, 16,423.64 and 6,596.16

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Solution

The fourth proportional to 11,901.66, 16,423.64 and 6,596.16 is: 9,102.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.66 : 16,423.64 = 6,596.16 : x
  2. Step 2: Convert to fraction form
    11,901.66/16,423.64 = 6,596.16/x
  3. Step 3: Cross multiply
    11,901.66x = 16,423.64 × 6,596.16
  4. Step 4: Simplify right side
    11,901.66x = 108,332,948.98
  5. Step 5: Solve for x
    x = 108,332,948.98/11,901.66
  6. Step 6: Final answer
    x = 9,102.34

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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.