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Finding the Fourth Proportional to 11,901.46, 16,423.08 and 6,596.14

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Solution

The fourth proportional to 11,901.46, 16,423.08 and 6,596.14 is: 9,102.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.46 : 16,423.08 = 6,596.14 : x
  2. Step 2: Convert to fraction form
    11,901.46/16,423.08 = 6,596.14/x
  3. Step 3: Cross multiply
    11,901.46x = 16,423.08 × 6,596.14
  4. Step 4: Simplify right side
    11,901.46x = 108,328,934.91
  5. Step 5: Solve for x
    x = 108,328,934.91/11,901.46
  6. Step 6: Final answer
    x = 9,102.16

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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.