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Finding the Fourth Proportional to 11,457.25, 17,185.88 and 3,666.67

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Solution

The fourth proportional to 11,457.25, 17,185.88 and 3,666.67 is: 5,500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457.25 : 17,185.88 = 3,666.67 : x
  2. Step 2: Convert to fraction form
    11,457.25/17,185.88 = 3,666.67/x
  3. Step 3: Cross multiply
    11,457.25x = 17,185.88 × 3,666.67
  4. Step 4: Simplify right side
    11,457.25x = 63,014,932.29
  5. Step 5: Solve for x
    x = 63,014,932.29/11,457.25
  6. Step 6: Final answer
    x = 5,500.01

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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.