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Finding the Fourth Proportional to 11,869.65, 16,381.67 and 6,834.08

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Solution

The fourth proportional to 11,869.65, 16,381.67 and 6,834.08 is: 9,431.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869.65 : 16,381.67 = 6,834.08 : x
  2. Step 2: Convert to fraction form
    11,869.65/16,381.67 = 6,834.08/x
  3. Step 3: Cross multiply
    11,869.65x = 16,381.67 × 6,834.08
  4. Step 4: Simplify right side
    11,869.65x = 111,953,643.31
  5. Step 5: Solve for x
    x = 111,953,643.31/11,869.65
  6. Step 6: Final answer
    x = 9,431.92

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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.