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Finding the Fourth Proportional to 11,901.95, 16,423.77 and 6,596.65

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Solution

The fourth proportional to 11,901.95, 16,423.77 and 6,596.65 is: 9,102.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.95 : 16,423.77 = 6,596.65 : x
  2. Step 2: Convert to fraction form
    11,901.95/16,423.77 = 6,596.65/x
  3. Step 3: Cross multiply
    11,901.95x = 16,423.77 × 6,596.65
  4. Step 4: Simplify right side
    11,901.95x = 108,341,862.37
  5. Step 5: Solve for x
    x = 108,341,862.37/11,901.95
  6. Step 6: Final answer
    x = 9,102.87

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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.