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Finding the Fourth Proportional to 11,704.65, 17,554.95 and 4,305.30

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Solution

The fourth proportional to 11,704.65, 17,554.95 and 4,305.30 is: 6,457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.65 : 17,554.95 = 4,305.30 : x
  2. Step 2: Convert to fraction form
    11,704.65/17,554.95 = 4,305.30/x
  3. Step 3: Cross multiply
    11,704.65x = 17,554.95 × 4,305.30
  4. Step 4: Simplify right side
    11,704.65x = 75,579,326.24
  5. Step 5: Solve for x
    x = 75,579,326.24/11,704.65
  6. Step 6: Final answer
    x = 6,457.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.