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Finding the Fourth Proportional to 26,133, 39,206.01 and 7,665

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Solution

The fourth proportional to 26,133, 39,206.01 and 7,665 is: 11,499.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,133 : 39,206.01 = 7,665 : x
  2. Step 2: Convert to fraction form
    26,133/39,206.01 = 7,665/x
  3. Step 3: Cross multiply
    26,133x = 39,206.01 × 7,665
  4. Step 4: Simplify right side
    26,133x = 300,514,066.65
  5. Step 5: Solve for x
    x = 300,514,066.65/26,133
  6. Step 6: Final answer
    x = 11,499.41

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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.