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Finding the Fourth Proportional to 11,664.65, 17,502.14 and 6,116.67

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Solution

The fourth proportional to 11,664.65, 17,502.14 and 6,116.67 is: 9,177.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.65 : 17,502.14 = 6,116.67 : x
  2. Step 2: Convert to fraction form
    11,664.65/17,502.14 = 6,116.67/x
  3. Step 3: Cross multiply
    11,664.65x = 17,502.14 × 6,116.67
  4. Step 4: Simplify right side
    11,664.65x = 107,054,784.09
  5. Step 5: Solve for x
    x = 107,054,784.09/11,664.65
  6. Step 6: Final answer
    x = 9,177.71

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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.