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Finding the Fourth Proportional to 11,716.65, 17,584.02 and 4,328.10

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Solution

The fourth proportional to 11,716.65, 17,584.02 and 4,328.10 is: 6,495.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.65 : 17,584.02 = 4,328.10 : x
  2. Step 2: Convert to fraction form
    11,716.65/17,584.02 = 4,328.10/x
  3. Step 3: Cross multiply
    11,716.65x = 17,584.02 × 4,328.10
  4. Step 4: Simplify right side
    11,716.65x = 76,105,396.96
  5. Step 5: Solve for x
    x = 76,105,396.96/11,716.65
  6. Step 6: Final answer
    x = 6,495.49

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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.