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Finding the Fourth Proportional to 11,696.65, 17,551.89 and 4,306.30

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Solution

The fourth proportional to 11,696.65, 17,551.89 and 4,306.30 is: 6,462.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.65 : 17,551.89 = 4,306.30 : x
  2. Step 2: Convert to fraction form
    11,696.65/17,551.89 = 4,306.30/x
  3. Step 3: Cross multiply
    11,696.65x = 17,551.89 × 4,306.30
  4. Step 4: Simplify right side
    11,696.65x = 75,583,703.91
  5. Step 5: Solve for x
    x = 75,583,703.91/11,696.65
  6. Step 6: Final answer
    x = 6,462.00

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Why These Related Problems?

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